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Finding the Fourth Proportional to 1,146.83, 1,720.24 and 780.71

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Solution

The fourth proportional to 1,146.83, 1,720.24 and 780.71 is: 1,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.83 : 1,720.24 = 780.71 : x
  2. Step 2: Convert to fraction form
    1,146.83/1,720.24 = 780.71/x
  3. Step 3: Cross multiply
    1,146.83x = 1,720.24 × 780.71
  4. Step 4: Simplify right side
    1,146.83x = 1,343,008.57
  5. Step 5: Solve for x
    x = 1,343,008.57/1,146.83
  6. Step 6: Final answer
    x = 1,171.06

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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.