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Finding the Fourth Proportional to 610.12, 841.38 and 462.76

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Solution

The fourth proportional to 610.12, 841.38 and 462.76 is: 638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.12 : 841.38 = 462.76 : x
  2. Step 2: Convert to fraction form
    610.12/841.38 = 462.76/x
  3. Step 3: Cross multiply
    610.12x = 841.38 × 462.76
  4. Step 4: Simplify right side
    610.12x = 389,357.01
  5. Step 5: Solve for x
    x = 389,357.01/610.12
  6. Step 6: Final answer
    x = 638.16

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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.