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Finding the Fourth Proportional to 772.80, 1,066.32 and 474.24

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Solution

The fourth proportional to 772.80, 1,066.32 and 474.24 is: 654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.80 : 1,066.32 = 474.24 : x
  2. Step 2: Convert to fraction form
    772.80/1,066.32 = 474.24/x
  3. Step 3: Cross multiply
    772.80x = 1,066.32 × 474.24
  4. Step 4: Simplify right side
    772.80x = 505,691.60
  5. Step 5: Solve for x
    x = 505,691.60/772.80
  6. Step 6: Final answer
    x = 654.36

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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.