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Finding the Fourth Proportional to 864.52, 1,191.32 and 628.06

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Solution

The fourth proportional to 864.52, 1,191.32 and 628.06 is: 865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.52 : 1,191.32 = 628.06 : x
  2. Step 2: Convert to fraction form
    864.52/1,191.32 = 628.06/x
  3. Step 3: Cross multiply
    864.52x = 1,191.32 × 628.06
  4. Step 4: Simplify right side
    864.52x = 748,220.44
  5. Step 5: Solve for x
    x = 748,220.44/864.52
  6. Step 6: Final answer
    x = 865.47

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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.