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Finding the Fourth Proportional to 463.87, 637.46 and 442.46

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Solution

The fourth proportional to 463.87, 637.46 and 442.46 is: 608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.87 : 637.46 = 442.46 : x
  2. Step 2: Convert to fraction form
    463.87/637.46 = 442.46/x
  3. Step 3: Cross multiply
    463.87x = 637.46 × 442.46
  4. Step 4: Simplify right side
    463.87x = 282,050.55
  5. Step 5: Solve for x
    x = 282,050.55/463.87
  6. Step 6: Final answer
    x = 608.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.