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Finding the Fourth Proportional to 1,114.58, 1,538.31 and 642.39

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Solution

The fourth proportional to 1,114.58, 1,538.31 and 642.39 is: 886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.58 : 1,538.31 = 642.39 : x
  2. Step 2: Convert to fraction form
    1,114.58/1,538.31 = 642.39/x
  3. Step 3: Cross multiply
    1,114.58x = 1,538.31 × 642.39
  4. Step 4: Simplify right side
    1,114.58x = 988,189.67
  5. Step 5: Solve for x
    x = 988,189.67/1,114.58
  6. Step 6: Final answer
    x = 886.61

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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.