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Finding the Fourth Proportional to 962.18, 1,442.79 and 499.84

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Solution

The fourth proportional to 962.18, 1,442.79 and 499.84 is: 749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.18 : 1,442.79 = 499.84 : x
  2. Step 2: Convert to fraction form
    962.18/1,442.79 = 499.84/x
  3. Step 3: Cross multiply
    962.18x = 1,442.79 × 499.84
  4. Step 4: Simplify right side
    962.18x = 721,164.15
  5. Step 5: Solve for x
    x = 721,164.15/962.18
  6. Step 6: Final answer
    x = 749.51

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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.