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Finding the Fourth Proportional to 616.50, 851.40 and 460.98

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Solution

The fourth proportional to 616.50, 851.40 and 460.98 is: 636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 851.40 = 460.98 : x
  2. Step 2: Convert to fraction form
    616.50/851.40 = 460.98/x
  3. Step 3: Cross multiply
    616.50x = 851.40 × 460.98
  4. Step 4: Simplify right side
    616.50x = 392,478.37
  5. Step 5: Solve for x
    x = 392,478.37/616.50
  6. Step 6: Final answer
    x = 636.62

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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.