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Finding the Fourth Proportional to 714.11, 1,071.19 and 675.15

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Solution

The fourth proportional to 714.11, 1,071.19 and 675.15 is: 1,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.11 : 1,071.19 = 675.15 : x
  2. Step 2: Convert to fraction form
    714.11/1,071.19 = 675.15/x
  3. Step 3: Cross multiply
    714.11x = 1,071.19 × 675.15
  4. Step 4: Simplify right side
    714.11x = 723,213.93
  5. Step 5: Solve for x
    x = 723,213.93/714.11
  6. Step 6: Final answer
    x = 1,012.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.