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Finding the Fourth Proportional to 792.98, 1,187.64 and 500.54

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Solution

The fourth proportional to 792.98, 1,187.64 and 500.54 is: 749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.98 : 1,187.64 = 500.54 : x
  2. Step 2: Convert to fraction form
    792.98/1,187.64 = 500.54/x
  3. Step 3: Cross multiply
    792.98x = 1,187.64 × 500.54
  4. Step 4: Simplify right side
    792.98x = 594,461.33
  5. Step 5: Solve for x
    x = 594,461.33/792.98
  6. Step 6: Final answer
    x = 749.65

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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.