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Finding the Fourth Proportional to 686.22, 1,027.74 and 503.16

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Solution

The fourth proportional to 686.22, 1,027.74 and 503.16 is: 753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.22 : 1,027.74 = 503.16 : x
  2. Step 2: Convert to fraction form
    686.22/1,027.74 = 503.16/x
  3. Step 3: Cross multiply
    686.22x = 1,027.74 × 503.16
  4. Step 4: Simplify right side
    686.22x = 517,117.66
  5. Step 5: Solve for x
    x = 517,117.66/686.22
  6. Step 6: Final answer
    x = 753.57

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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.