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Finding the Fourth Proportional to 462.01, 637.68 and 322.42

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Solution

The fourth proportional to 462.01, 637.68 and 322.42 is: 445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.01 : 637.68 = 322.42 : x
  2. Step 2: Convert to fraction form
    462.01/637.68 = 322.42/x
  3. Step 3: Cross multiply
    462.01x = 637.68 × 322.42
  4. Step 4: Simplify right side
    462.01x = 205,600.79
  5. Step 5: Solve for x
    x = 205,600.79/462.01
  6. Step 6: Final answer
    x = 445.01

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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.