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Finding the Fourth Proportional to 1,139.88, 1,573.04 and 642.53

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Solution

The fourth proportional to 1,139.88, 1,573.04 and 642.53 is: 886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.88 : 1,573.04 = 642.53 : x
  2. Step 2: Convert to fraction form
    1,139.88/1,573.04 = 642.53/x
  3. Step 3: Cross multiply
    1,139.88x = 1,573.04 × 642.53
  4. Step 4: Simplify right side
    1,139.88x = 1,010,730.93
  5. Step 5: Solve for x
    x = 1,010,730.93/1,139.88
  6. Step 6: Final answer
    x = 886.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.