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Finding the Fourth Proportional to 686.03, 1,027.76 and 539.10

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Solution

The fourth proportional to 686.03, 1,027.76 and 539.10 is: 807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.03 : 1,027.76 = 539.10 : x
  2. Step 2: Convert to fraction form
    686.03/1,027.76 = 539.10/x
  3. Step 3: Cross multiply
    686.03x = 1,027.76 × 539.10
  4. Step 4: Simplify right side
    686.03x = 554,062.72
  5. Step 5: Solve for x
    x = 554,062.72/686.03
  6. Step 6: Final answer
    x = 807.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.