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Finding the Fourth Proportional to 686.56, 946.89 and 553.74

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Solution

The fourth proportional to 686.56, 946.89 and 553.74 is: 763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.56 : 946.89 = 553.74 : x
  2. Step 2: Convert to fraction form
    686.56/946.89 = 553.74/x
  3. Step 3: Cross multiply
    686.56x = 946.89 × 553.74
  4. Step 4: Simplify right side
    686.56x = 524,326.13
  5. Step 5: Solve for x
    x = 524,326.13/686.56
  6. Step 6: Final answer
    x = 763.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.