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Finding the Fourth Proportional to 1,114.63, 1,538.48 and 642.58

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Solution

The fourth proportional to 1,114.63, 1,538.48 and 642.58 is: 886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.63 : 1,538.48 = 642.58 : x
  2. Step 2: Convert to fraction form
    1,114.63/1,538.48 = 642.58/x
  3. Step 3: Cross multiply
    1,114.63x = 1,538.48 × 642.58
  4. Step 4: Simplify right side
    1,114.63x = 988,596.48
  5. Step 5: Solve for x
    x = 988,596.48/1,114.63
  6. Step 6: Final answer
    x = 886.93

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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.