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Finding the Fourth Proportional to 742.11, 1,023.59 and 462.51

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Solution

The fourth proportional to 742.11, 1,023.59 and 462.51 is: 637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.11 : 1,023.59 = 462.51 : x
  2. Step 2: Convert to fraction form
    742.11/1,023.59 = 462.51/x
  3. Step 3: Cross multiply
    742.11x = 1,023.59 × 462.51
  4. Step 4: Simplify right side
    742.11x = 473,419.17
  5. Step 5: Solve for x
    x = 473,419.17/742.11
  6. Step 6: Final answer
    x = 637.94

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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.