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Finding the Fourth Proportional to 699.14, 1,042.60 and 612.87

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Solution

The fourth proportional to 699.14, 1,042.60 and 612.87 is: 913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.14 : 1,042.60 = 612.87 : x
  2. Step 2: Convert to fraction form
    699.14/1,042.60 = 612.87/x
  3. Step 3: Cross multiply
    699.14x = 1,042.60 × 612.87
  4. Step 4: Simplify right side
    699.14x = 638,976.73
  5. Step 5: Solve for x
    x = 638,976.73/699.14
  6. Step 6: Final answer
    x = 913.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.