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Finding the Fourth Proportional to 1,145.61, 1,580.85 and 752.76

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Solution

The fourth proportional to 1,145.61, 1,580.85 and 752.76 is: 1,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.61 : 1,580.85 = 752.76 : x
  2. Step 2: Convert to fraction form
    1,145.61/1,580.85 = 752.76/x
  3. Step 3: Cross multiply
    1,145.61x = 1,580.85 × 752.76
  4. Step 4: Simplify right side
    1,145.61x = 1,190,000.65
  5. Step 5: Solve for x
    x = 1,190,000.65/1,145.61
  6. Step 6: Final answer
    x = 1,038.75

Related Problems

Find fourth proportional to 572.81, 790.43 and 376.38
Half scale
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Double scale
Find fourth proportional to 1,146.61, 1,582.23 and 753.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.