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Finding the Fourth Proportional to 502.32, 692.04 and 371.16

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Solution

The fourth proportional to 502.32, 692.04 and 371.16 is: 511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.32 : 692.04 = 371.16 : x
  2. Step 2: Convert to fraction form
    502.32/692.04 = 371.16/x
  3. Step 3: Cross multiply
    502.32x = 692.04 × 371.16
  4. Step 4: Simplify right side
    502.32x = 256,857.57
  5. Step 5: Solve for x
    x = 256,857.57/502.32
  6. Step 6: Final answer
    x = 511.34

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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.