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Finding the Fourth Proportional to 687.81, 949.26 and 501.92

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Solution

The fourth proportional to 687.81, 949.26 and 501.92 is: 692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.81 : 949.26 = 501.92 : x
  2. Step 2: Convert to fraction form
    687.81/949.26 = 501.92/x
  3. Step 3: Cross multiply
    687.81x = 949.26 × 501.92
  4. Step 4: Simplify right side
    687.81x = 476,447.83
  5. Step 5: Solve for x
    x = 476,447.83/687.81
  6. Step 6: Final answer
    x = 692.70

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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.