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Finding the Fourth Proportional to 1,113.14, 1,536.85 and 714.97

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Solution

The fourth proportional to 1,113.14, 1,536.85 and 714.97 is: 987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.14 : 1,536.85 = 714.97 : x
  2. Step 2: Convert to fraction form
    1,113.14/1,536.85 = 714.97/x
  3. Step 3: Cross multiply
    1,113.14x = 1,536.85 × 714.97
  4. Step 4: Simplify right side
    1,113.14x = 1,098,804.46
  5. Step 5: Solve for x
    x = 1,098,804.46/1,113.14
  6. Step 6: Final answer
    x = 987.12

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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.