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Finding the Fourth Proportional to 502.30, 692.72 and 315.74

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Solution

The fourth proportional to 502.30, 692.72 and 315.74 is: 435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.30 : 692.72 = 315.74 : x
  2. Step 2: Convert to fraction form
    502.30/692.72 = 315.74/x
  3. Step 3: Cross multiply
    502.30x = 692.72 × 315.74
  4. Step 4: Simplify right side
    502.30x = 218,719.41
  5. Step 5: Solve for x
    x = 218,719.41/502.30
  6. Step 6: Final answer
    x = 435.44

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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.