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Finding the Fourth Proportional to 686.07, 1,027.35 and 503.35

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Solution

The fourth proportional to 686.07, 1,027.35 and 503.35 is: 753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.07 : 1,027.35 = 503.35 : x
  2. Step 2: Convert to fraction form
    686.07/1,027.35 = 503.35/x
  3. Step 3: Cross multiply
    686.07x = 1,027.35 × 503.35
  4. Step 4: Simplify right side
    686.07x = 517,114.05
  5. Step 5: Solve for x
    x = 517,114.05/686.07
  6. Step 6: Final answer
    x = 753.73

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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.