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Finding the Fourth Proportional to 1,142.63, 1,720.17 and 779.70

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Solution

The fourth proportional to 1,142.63, 1,720.17 and 779.70 is: 1,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.63 : 1,720.17 = 779.70 : x
  2. Step 2: Convert to fraction form
    1,142.63/1,720.17 = 779.70/x
  3. Step 3: Cross multiply
    1,142.63x = 1,720.17 × 779.70
  4. Step 4: Simplify right side
    1,142.63x = 1,341,216.55
  5. Step 5: Solve for x
    x = 1,341,216.55/1,142.63
  6. Step 6: Final answer
    x = 1,173.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.