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Finding the Fourth Proportional to 699.94, 1,042.44 and 691.74

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Solution

The fourth proportional to 699.94, 1,042.44 and 691.74 is: 1,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.94 : 1,042.44 = 691.74 : x
  2. Step 2: Convert to fraction form
    699.94/1,042.44 = 691.74/x
  3. Step 3: Cross multiply
    699.94x = 1,042.44 × 691.74
  4. Step 4: Simplify right side
    699.94x = 721,094.85
  5. Step 5: Solve for x
    x = 721,094.85/699.94
  6. Step 6: Final answer
    x = 1,030.22

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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.