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Finding the Fourth Proportional to 565.41, 774.42 and 532.20

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Solution

The fourth proportional to 565.41, 774.42 and 532.20 is: 728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.41 : 774.42 = 532.20 : x
  2. Step 2: Convert to fraction form
    565.41/774.42 = 532.20/x
  3. Step 3: Cross multiply
    565.41x = 774.42 × 532.20
  4. Step 4: Simplify right side
    565.41x = 412,146.32
  5. Step 5: Solve for x
    x = 412,146.32/565.41
  6. Step 6: Final answer
    x = 728.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.