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Finding the Fourth Proportional to 502.92, 692.70 and 432.84

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Solution

The fourth proportional to 502.92, 692.70 and 432.84 is: 596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.92 : 692.70 = 432.84 : x
  2. Step 2: Convert to fraction form
    502.92/692.70 = 432.84/x
  3. Step 3: Cross multiply
    502.92x = 692.70 × 432.84
  4. Step 4: Simplify right side
    502.92x = 299,828.27
  5. Step 5: Solve for x
    x = 299,828.27/502.92
  6. Step 6: Final answer
    x = 596.17

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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.