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Finding the Fourth Proportional to 966.18, 1,333.14 and 616.74

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Solution

The fourth proportional to 966.18, 1,333.14 and 616.74 is: 850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.18 : 1,333.14 = 616.74 : x
  2. Step 2: Convert to fraction form
    966.18/1,333.14 = 616.74/x
  3. Step 3: Cross multiply
    966.18x = 1,333.14 × 616.74
  4. Step 4: Simplify right side
    966.18x = 822,200.76
  5. Step 5: Solve for x
    x = 822,200.76/966.18
  6. Step 6: Final answer
    x = 850.98

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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.