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Finding the Fourth Proportional to 864.01, 1,191.09 and 532.27

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Solution

The fourth proportional to 864.01, 1,191.09 and 532.27 is: 733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.01 : 1,191.09 = 532.27 : x
  2. Step 2: Convert to fraction form
    864.01/1,191.09 = 532.27/x
  3. Step 3: Cross multiply
    864.01x = 1,191.09 × 532.27
  4. Step 4: Simplify right side
    864.01x = 633,981.47
  5. Step 5: Solve for x
    x = 633,981.47/864.01
  6. Step 6: Final answer
    x = 733.77

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1.5x scale

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.