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Finding the Fourth Proportional to 1,140.18, 1,573.74 and 698.40

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Solution

The fourth proportional to 1,140.18, 1,573.74 and 698.40 is: 963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.18 : 1,573.74 = 698.40 : x
  2. Step 2: Convert to fraction form
    1,140.18/1,573.74 = 698.40/x
  3. Step 3: Cross multiply
    1,140.18x = 1,573.74 × 698.40
  4. Step 4: Simplify right side
    1,140.18x = 1,099,100.02
  5. Step 5: Solve for x
    x = 1,099,100.02/1,140.18
  6. Step 6: Final answer
    x = 963.97

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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.