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Finding the Fourth Proportional to 864.08, 1,193.16 and 616.16

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Solution

The fourth proportional to 864.08, 1,193.16 and 616.16 is: 850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.08 : 1,193.16 = 616.16 : x
  2. Step 2: Convert to fraction form
    864.08/1,193.16 = 616.16/x
  3. Step 3: Cross multiply
    864.08x = 1,193.16 × 616.16
  4. Step 4: Simplify right side
    864.08x = 735,177.47
  5. Step 5: Solve for x
    x = 735,177.47/864.08
  6. Step 6: Final answer
    x = 850.82

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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.