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Finding the Fourth Proportional to 631.62, 869.04 and 532.80

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Solution

The fourth proportional to 631.62, 869.04 and 532.80 is: 733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.62 : 869.04 = 532.80 : x
  2. Step 2: Convert to fraction form
    631.62/869.04 = 532.80/x
  3. Step 3: Cross multiply
    631.62x = 869.04 × 532.80
  4. Step 4: Simplify right side
    631.62x = 463,024.51
  5. Step 5: Solve for x
    x = 463,024.51/631.62
  6. Step 6: Final answer
    x = 733.07

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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.