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Finding the Fourth Proportional to 1,141.67, 1,575.06 and 699.41

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Solution

The fourth proportional to 1,141.67, 1,575.06 and 699.41 is: 964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.67 : 1,575.06 = 699.41 : x
  2. Step 2: Convert to fraction form
    1,141.67/1,575.06 = 699.41/x
  3. Step 3: Cross multiply
    1,141.67x = 1,575.06 × 699.41
  4. Step 4: Simplify right side
    1,141.67x = 1,101,612.71
  5. Step 5: Solve for x
    x = 1,101,612.71/1,141.67
  6. Step 6: Final answer
    x = 964.91

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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.