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Finding the Fourth Proportional to 462.72, 637.44 and 322.32

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Solution

The fourth proportional to 462.72, 637.44 and 322.32 is: 444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.72 : 637.44 = 322.32 : x
  2. Step 2: Convert to fraction form
    462.72/637.44 = 322.32/x
  3. Step 3: Cross multiply
    462.72x = 637.44 × 322.32
  4. Step 4: Simplify right side
    462.72x = 205,459.66
  5. Step 5: Solve for x
    x = 205,459.66/462.72
  6. Step 6: Final answer
    x = 444.03

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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.