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Finding the Fourth Proportional to 567.60, 784.76 and 474.32

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Solution

The fourth proportional to 567.60, 784.76 and 474.32 is: 655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 784.76 = 474.32 : x
  2. Step 2: Convert to fraction form
    567.60/784.76 = 474.32/x
  3. Step 3: Cross multiply
    567.60x = 784.76 × 474.32
  4. Step 4: Simplify right side
    567.60x = 372,227.36
  5. Step 5: Solve for x
    x = 372,227.36/567.60
  6. Step 6: Final answer
    x = 655.79

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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.