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Finding the Fourth Proportional to 1,140.33, 1,573.68 and 698.47

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Solution

The fourth proportional to 1,140.33, 1,573.68 and 698.47 is: 963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.33 : 1,573.68 = 698.47 : x
  2. Step 2: Convert to fraction form
    1,140.33/1,573.68 = 698.47/x
  3. Step 3: Cross multiply
    1,140.33x = 1,573.68 × 698.47
  4. Step 4: Simplify right side
    1,140.33x = 1,099,171.88
  5. Step 5: Solve for x
    x = 1,099,171.88/1,140.33
  6. Step 6: Final answer
    x = 963.91

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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.