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Finding the Fourth Proportional to 616.98, 850.10 and 420.15

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Solution

The fourth proportional to 616.98, 850.10 and 420.15 is: 578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.98 : 850.10 = 420.15 : x
  2. Step 2: Convert to fraction form
    616.98/850.10 = 420.15/x
  3. Step 3: Cross multiply
    616.98x = 850.10 × 420.15
  4. Step 4: Simplify right side
    616.98x = 357,169.52
  5. Step 5: Solve for x
    x = 357,169.52/616.98
  6. Step 6: Final answer
    x = 578.90

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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.