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Finding the Fourth Proportional to 502.23, 692.56 and 432.53

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Solution

The fourth proportional to 502.23, 692.56 and 432.53 is: 596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.23 : 692.56 = 432.53 : x
  2. Step 2: Convert to fraction form
    502.23/692.56 = 432.53/x
  3. Step 3: Cross multiply
    502.23x = 692.56 × 432.53
  4. Step 4: Simplify right side
    502.23x = 299,552.98
  5. Step 5: Solve for x
    x = 299,552.98/502.23
  6. Step 6: Final answer
    x = 596.45

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1.5x scale

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.