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Finding the Fourth Proportional to 532.20, 730.41 and 509.16

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Solution

The fourth proportional to 532.20, 730.41 and 509.16 is: 698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.20 : 730.41 = 509.16 : x
  2. Step 2: Convert to fraction form
    532.20/730.41 = 509.16/x
  3. Step 3: Cross multiply
    532.20x = 730.41 × 509.16
  4. Step 4: Simplify right side
    532.20x = 371,895.56
  5. Step 5: Solve for x
    x = 371,895.56/532.20
  6. Step 6: Final answer
    x = 698.79

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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.