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Finding the Fourth Proportional to 502.74, 692.12 and 437.21

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Solution

The fourth proportional to 502.74, 692.12 and 437.21 is: 601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.74 : 692.12 = 437.21 : x
  2. Step 2: Convert to fraction form
    502.74/692.12 = 437.21/x
  3. Step 3: Cross multiply
    502.74x = 692.12 × 437.21
  4. Step 4: Simplify right side
    502.74x = 302,602.01
  5. Step 5: Solve for x
    x = 302,602.01/502.74
  6. Step 6: Final answer
    x = 601.91

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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.