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Finding the Fourth Proportional to 616.42, 850.02 and 498.28

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Solution

The fourth proportional to 616.42, 850.02 and 498.28 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.42 : 850.02 = 498.28 : x
  2. Step 2: Convert to fraction form
    616.42/850.02 = 498.28/x
  3. Step 3: Cross multiply
    616.42x = 850.02 × 498.28
  4. Step 4: Simplify right side
    616.42x = 423,547.97
  5. Step 5: Solve for x
    x = 423,547.97/616.42
  6. Step 6: Final answer
    x = 687.11

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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.