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Finding the Fourth Proportional to 1,129.55, 1,691.13 and 717.67

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Solution

The fourth proportional to 1,129.55, 1,691.13 and 717.67 is: 1,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.55 : 1,691.13 = 717.67 : x
  2. Step 2: Convert to fraction form
    1,129.55/1,691.13 = 717.67/x
  3. Step 3: Cross multiply
    1,129.55x = 1,691.13 × 717.67
  4. Step 4: Simplify right side
    1,129.55x = 1,213,664.81
  5. Step 5: Solve for x
    x = 1,213,664.81/1,129.55
  6. Step 6: Final answer
    x = 1,074.47

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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.