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Finding the Fourth Proportional to 962.35, 1,442.68 and 414.59

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Solution

The fourth proportional to 962.35, 1,442.68 and 414.59 is: 621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.35 : 1,442.68 = 414.59 : x
  2. Step 2: Convert to fraction form
    962.35/1,442.68 = 414.59/x
  3. Step 3: Cross multiply
    962.35x = 1,442.68 × 414.59
  4. Step 4: Simplify right side
    962.35x = 598,112.45
  5. Step 5: Solve for x
    x = 598,112.45/962.35
  6. Step 6: Final answer
    x = 621.51

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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.