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Finding the Fourth Proportional to 795.60, 1,193.08 and 487.59

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Solution

The fourth proportional to 795.60, 1,193.08 and 487.59 is: 731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.60 : 1,193.08 = 487.59 : x
  2. Step 2: Convert to fraction form
    795.60/1,193.08 = 487.59/x
  3. Step 3: Cross multiply
    795.60x = 1,193.08 × 487.59
  4. Step 4: Simplify right side
    795.60x = 581,733.88
  5. Step 5: Solve for x
    x = 581,733.88/795.60
  6. Step 6: Final answer
    x = 731.19

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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.