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Finding the Fourth Proportional to 1,114.34, 1,537.86 and 642.32

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Solution

The fourth proportional to 1,114.34, 1,537.86 and 642.32 is: 886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.34 : 1,537.86 = 642.32 : x
  2. Step 2: Convert to fraction form
    1,114.34/1,537.86 = 642.32/x
  3. Step 3: Cross multiply
    1,114.34x = 1,537.86 × 642.32
  4. Step 4: Simplify right side
    1,114.34x = 987,790.55
  5. Step 5: Solve for x
    x = 987,790.55/1,114.34
  6. Step 6: Final answer
    x = 886.44

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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.