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Finding the Fourth Proportional to 1,147.20, 1,720.80 and 782.70

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Solution

The fourth proportional to 1,147.20, 1,720.80 and 782.70 is: 1,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.20 : 1,720.80 = 782.70 : x
  2. Step 2: Convert to fraction form
    1,147.20/1,720.80 = 782.70/x
  3. Step 3: Cross multiply
    1,147.20x = 1,720.80 × 782.70
  4. Step 4: Simplify right side
    1,147.20x = 1,346,870.16
  5. Step 5: Solve for x
    x = 1,346,870.16/1,147.20
  6. Step 6: Final answer
    x = 1,174.05

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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.