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Finding the Fourth Proportional to 686.08, 1,034.08 and 591.04

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Solution

The fourth proportional to 686.08, 1,034.08 and 591.04 is: 890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.08 : 1,034.08 = 591.04 : x
  2. Step 2: Convert to fraction form
    686.08/1,034.08 = 591.04/x
  3. Step 3: Cross multiply
    686.08x = 1,034.08 × 591.04
  4. Step 4: Simplify right side
    686.08x = 611,182.64
  5. Step 5: Solve for x
    x = 611,182.64/686.08
  6. Step 6: Final answer
    x = 890.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.