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Finding the Fourth Proportional to 928.95, 1,390.68 and 686.57

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Solution

The fourth proportional to 928.95, 1,390.68 and 686.57 is: 1,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.95 : 1,390.68 = 686.57 : x
  2. Step 2: Convert to fraction form
    928.95/1,390.68 = 686.57/x
  3. Step 3: Cross multiply
    928.95x = 1,390.68 × 686.57
  4. Step 4: Simplify right side
    928.95x = 954,792.21
  5. Step 5: Solve for x
    x = 954,792.21/928.95
  6. Step 6: Final answer
    x = 1,027.82

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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.