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Finding the Fourth Proportional to 772.59, 1,158.88 and 187.60

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Solution

The fourth proportional to 772.59, 1,158.88 and 187.60 is: 281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.59 : 1,158.88 = 187.60 : x
  2. Step 2: Convert to fraction form
    772.59/1,158.88 = 187.60/x
  3. Step 3: Cross multiply
    772.59x = 1,158.88 × 187.60
  4. Step 4: Simplify right side
    772.59x = 217,402.88
  5. Step 5: Solve for x
    x = 217,402.88/772.59
  6. Step 6: Final answer
    x = 281.39

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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.