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Finding the Fourth Proportional to 1,113.98, 1,537.51 and 642.19

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Solution

The fourth proportional to 1,113.98, 1,537.51 and 642.19 is: 886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.98 : 1,537.51 = 642.19 : x
  2. Step 2: Convert to fraction form
    1,113.98/1,537.51 = 642.19/x
  3. Step 3: Cross multiply
    1,113.98x = 1,537.51 × 642.19
  4. Step 4: Simplify right side
    1,113.98x = 987,370.34
  5. Step 5: Solve for x
    x = 987,370.34/1,113.98
  6. Step 6: Final answer
    x = 886.34

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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.