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Finding the Fourth Proportional to 532.44, 728.37 and 530.28

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Solution

The fourth proportional to 532.44, 728.37 and 530.28 is: 725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.44 : 728.37 = 530.28 : x
  2. Step 2: Convert to fraction form
    532.44/728.37 = 530.28/x
  3. Step 3: Cross multiply
    532.44x = 728.37 × 530.28
  4. Step 4: Simplify right side
    532.44x = 386,240.04
  5. Step 5: Solve for x
    x = 386,240.04/532.44
  6. Step 6: Final answer
    x = 725.42

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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.