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Finding the Fourth Proportional to 462.71, 692.85 and 279.86

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Solution

The fourth proportional to 462.71, 692.85 and 279.86 is: 419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.71 : 692.85 = 279.86 : x
  2. Step 2: Convert to fraction form
    462.71/692.85 = 279.86/x
  3. Step 3: Cross multiply
    462.71x = 692.85 × 279.86
  4. Step 4: Simplify right side
    462.71x = 193,898.59
  5. Step 5: Solve for x
    x = 193,898.59/462.71
  6. Step 6: Final answer
    x = 419.05

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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.