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Finding the Fourth Proportional to 462.54, 637.56 and 313.11

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Solution

The fourth proportional to 462.54, 637.56 and 313.11 is: 431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.54 : 637.56 = 313.11 : x
  2. Step 2: Convert to fraction form
    462.54/637.56 = 313.11/x
  3. Step 3: Cross multiply
    462.54x = 637.56 × 313.11
  4. Step 4: Simplify right side
    462.54x = 199,626.03
  5. Step 5: Solve for x
    x = 199,626.03/462.54
  6. Step 6: Final answer
    x = 431.59

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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.