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Finding the Fourth Proportional to 1,126.70, 1,687.61 and 714.81

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Solution

The fourth proportional to 1,126.70, 1,687.61 and 714.81 is: 1,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.70 : 1,687.61 = 714.81 : x
  2. Step 2: Convert to fraction form
    1,126.70/1,687.61 = 714.81/x
  3. Step 3: Cross multiply
    1,126.70x = 1,687.61 × 714.81
  4. Step 4: Simplify right side
    1,126.70x = 1,206,316.93
  5. Step 5: Solve for x
    x = 1,206,316.93/1,126.70
  6. Step 6: Final answer
    x = 1,070.67

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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.