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Finding the Fourth Proportional to 461.87, 637.70 and 322.28

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Solution

The fourth proportional to 461.87, 637.70 and 322.28 is: 444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.87 : 637.70 = 322.28 : x
  2. Step 2: Convert to fraction form
    461.87/637.70 = 322.28/x
  3. Step 3: Cross multiply
    461.87x = 637.70 × 322.28
  4. Step 4: Simplify right side
    461.87x = 205,513.16
  5. Step 5: Solve for x
    x = 205,513.16/461.87
  6. Step 6: Final answer
    x = 444.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.