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Finding the Fourth Proportional to 616.89, 851.30 and 337.12

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Solution

The fourth proportional to 616.89, 851.30 and 337.12 is: 465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.89 : 851.30 = 337.12 : x
  2. Step 2: Convert to fraction form
    616.89/851.30 = 337.12/x
  3. Step 3: Cross multiply
    616.89x = 851.30 × 337.12
  4. Step 4: Simplify right side
    616.89x = 286,986.84
  5. Step 5: Solve for x
    x = 286,986.84/616.89
  6. Step 6: Final answer
    x = 465.22

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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.