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Finding the Fourth Proportional to 610.48, 843.60 and 462.88

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Solution

The fourth proportional to 610.48, 843.60 and 462.88 is: 639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.48 : 843.60 = 462.88 : x
  2. Step 2: Convert to fraction form
    610.48/843.60 = 462.88/x
  3. Step 3: Cross multiply
    610.48x = 843.60 × 462.88
  4. Step 4: Simplify right side
    610.48x = 390,485.57
  5. Step 5: Solve for x
    x = 390,485.57/610.48
  6. Step 6: Final answer
    x = 639.64

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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.