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Finding the Fourth Proportional to 497.84, 747.01 and 292.80

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Solution

The fourth proportional to 497.84, 747.01 and 292.80 is: 439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.84 : 747.01 = 292.80 : x
  2. Step 2: Convert to fraction form
    497.84/747.01 = 292.80/x
  3. Step 3: Cross multiply
    497.84x = 747.01 × 292.80
  4. Step 4: Simplify right side
    497.84x = 218,727.70
  5. Step 5: Solve for x
    x = 218,727.70/497.84
  6. Step 6: Final answer
    x = 439.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.