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Finding the Fourth Proportional to 864.39, 1,192.88 and 515.09

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Solution

The fourth proportional to 864.39, 1,192.88 and 515.09 is: 710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.39 : 1,192.88 = 515.09 : x
  2. Step 2: Convert to fraction form
    864.39/1,192.88 = 515.09/x
  3. Step 3: Cross multiply
    864.39x = 1,192.88 × 515.09
  4. Step 4: Simplify right side
    864.39x = 614,432.02
  5. Step 5: Solve for x
    x = 614,432.02/864.39
  6. Step 6: Final answer
    x = 710.83

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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.