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Finding the Fourth Proportional to 502.31, 692.54 and 336.40

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Solution

The fourth proportional to 502.31, 692.54 and 336.40 is: 463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.31 : 692.54 = 336.40 : x
  2. Step 2: Convert to fraction form
    502.31/692.54 = 336.40/x
  3. Step 3: Cross multiply
    502.31x = 692.54 × 336.40
  4. Step 4: Simplify right side
    502.31x = 232,970.46
  5. Step 5: Solve for x
    x = 232,970.46/502.31
  6. Step 6: Final answer
    x = 463.80

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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.