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Finding the Fourth Proportional to 962.24, 1,442.80 and 312.64

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Solution

The fourth proportional to 962.24, 1,442.80 and 312.64 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.24 : 1,442.80 = 312.64 : x
  2. Step 2: Convert to fraction form
    962.24/1,442.80 = 312.64/x
  3. Step 3: Cross multiply
    962.24x = 1,442.80 × 312.64
  4. Step 4: Simplify right side
    962.24x = 451,076.99
  5. Step 5: Solve for x
    x = 451,076.99/962.24
  6. Step 6: Final answer
    x = 468.78

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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.