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Finding the Fourth Proportional to 1,134.50, 1,565.62 and 668.76

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Solution

The fourth proportional to 1,134.50, 1,565.62 and 668.76 is: 922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.50 : 1,565.62 = 668.76 : x
  2. Step 2: Convert to fraction form
    1,134.50/1,565.62 = 668.76/x
  3. Step 3: Cross multiply
    1,134.50x = 1,565.62 × 668.76
  4. Step 4: Simplify right side
    1,134.50x = 1,047,024.03
  5. Step 5: Solve for x
    x = 1,047,024.03/1,134.50
  6. Step 6: Final answer
    x = 922.89

Related Problems

Find fourth proportional to 567.25, 782.81 and 334.38
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.