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Finding the Fourth Proportional to 566, 782.39 and 472.20

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Solution

The fourth proportional to 566, 782.39 and 472.20 is: 652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566 : 782.39 = 472.20 : x
  2. Step 2: Convert to fraction form
    566/782.39 = 472.20/x
  3. Step 3: Cross multiply
    566x = 782.39 × 472.20
  4. Step 4: Simplify right side
    566x = 369,441.42
  5. Step 5: Solve for x
    x = 369,441.42/566
  6. Step 6: Final answer
    x = 652.72

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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.