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Finding the Fourth Proportional to 723.16, 1,088.71 and 532.36

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Solution

The fourth proportional to 723.16, 1,088.71 and 532.36 is: 801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.16 : 1,088.71 = 532.36 : x
  2. Step 2: Convert to fraction form
    723.16/1,088.71 = 532.36/x
  3. Step 3: Cross multiply
    723.16x = 1,088.71 × 532.36
  4. Step 4: Simplify right side
    723.16x = 579,585.66
  5. Step 5: Solve for x
    x = 579,585.66/723.16
  6. Step 6: Final answer
    x = 801.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.