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Finding the Fourth Proportional to 1,149.17, 1,720.70 and 784.67

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Solution

The fourth proportional to 1,149.17, 1,720.70 and 784.67 is: 1,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.17 : 1,720.70 = 784.67 : x
  2. Step 2: Convert to fraction form
    1,149.17/1,720.70 = 784.67/x
  3. Step 3: Cross multiply
    1,149.17x = 1,720.70 × 784.67
  4. Step 4: Simplify right side
    1,149.17x = 1,350,177.75
  5. Step 5: Solve for x
    x = 1,350,177.75/1,149.17
  6. Step 6: Final answer
    x = 1,174.92

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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.