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Finding the Fourth Proportional to 1,130.75, 1,560.63 and 658.72

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Solution

The fourth proportional to 1,130.75, 1,560.63 and 658.72 is: 909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.75 : 1,560.63 = 658.72 : x
  2. Step 2: Convert to fraction form
    1,130.75/1,560.63 = 658.72/x
  3. Step 3: Cross multiply
    1,130.75x = 1,560.63 × 658.72
  4. Step 4: Simplify right side
    1,130.75x = 1,028,018.19
  5. Step 5: Solve for x
    x = 1,028,018.19/1,130.75
  6. Step 6: Final answer
    x = 909.15

Related Problems

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Half scale
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Double scale
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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.