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Finding the Fourth Proportional to 686.57, 946.35 and 562.01

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Solution

The fourth proportional to 686.57, 946.35 and 562.01 is: 774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.57 : 946.35 = 562.01 : x
  2. Step 2: Convert to fraction form
    686.57/946.35 = 562.01/x
  3. Step 3: Cross multiply
    686.57x = 946.35 × 562.01
  4. Step 4: Simplify right side
    686.57x = 531,853.43
  5. Step 5: Solve for x
    x = 531,853.43/686.57
  6. Step 6: Final answer
    x = 774.66

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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.