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Finding the Fourth Proportional to 773.28, 1,066.64 and 478.71

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Solution

The fourth proportional to 773.28, 1,066.64 and 478.71 is: 660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.28 : 1,066.64 = 478.71 : x
  2. Step 2: Convert to fraction form
    773.28/1,066.64 = 478.71/x
  3. Step 3: Cross multiply
    773.28x = 1,066.64 × 478.71
  4. Step 4: Simplify right side
    773.28x = 510,608.84
  5. Step 5: Solve for x
    x = 510,608.84/773.28
  6. Step 6: Final answer
    x = 660.32

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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.