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Finding the Fourth Proportional to 1,658.30, 2,487.76 and 792.68

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Solution

The fourth proportional to 1,658.30, 2,487.76 and 792.68 is: 1,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.30 : 2,487.76 = 792.68 : x
  2. Step 2: Convert to fraction form
    1,658.30/2,487.76 = 792.68/x
  3. Step 3: Cross multiply
    1,658.30x = 2,487.76 × 792.68
  4. Step 4: Simplify right side
    1,658.30x = 1,971,997.60
  5. Step 5: Solve for x
    x = 1,971,997.60/1,658.30
  6. Step 6: Final answer
    x = 1,189.17

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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.