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Finding the Fourth Proportional to 770.92, 1,064.12 and 476.32

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Solution

The fourth proportional to 770.92, 1,064.12 and 476.32 is: 657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.92 : 1,064.12 = 476.32 : x
  2. Step 2: Convert to fraction form
    770.92/1,064.12 = 476.32/x
  3. Step 3: Cross multiply
    770.92x = 1,064.12 × 476.32
  4. Step 4: Simplify right side
    770.92x = 506,861.64
  5. Step 5: Solve for x
    x = 506,861.64/770.92
  6. Step 6: Final answer
    x = 657.48

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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.