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Finding the Fourth Proportional to 962.00, 1,442.48 and 345.36

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Solution

The fourth proportional to 962.00, 1,442.48 and 345.36 is: 517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.00 : 1,442.48 = 345.36 : x
  2. Step 2: Convert to fraction form
    962.00/1,442.48 = 345.36/x
  3. Step 3: Cross multiply
    962.00x = 1,442.48 × 345.36
  4. Step 4: Simplify right side
    962.00x = 498,173.17
  5. Step 5: Solve for x
    x = 498,173.17/962.00
  6. Step 6: Final answer
    x = 517.85

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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.