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Finding the Fourth Proportional to 962.19, 1,442.49 and 442.08

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Solution

The fourth proportional to 962.19, 1,442.49 and 442.08 is: 662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.19 : 1,442.49 = 442.08 : x
  2. Step 2: Convert to fraction form
    962.19/1,442.49 = 442.08/x
  3. Step 3: Cross multiply
    962.19x = 1,442.49 × 442.08
  4. Step 4: Simplify right side
    962.19x = 637,695.98
  5. Step 5: Solve for x
    x = 637,695.98/962.19
  6. Step 6: Final answer
    x = 662.75

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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.