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Finding the Fourth Proportional to 1,742.77, 2,614.49 and 647.13

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Solution

The fourth proportional to 1,742.77, 2,614.49 and 647.13 is: 970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.77 : 2,614.49 = 647.13 : x
  2. Step 2: Convert to fraction form
    1,742.77/2,614.49 = 647.13/x
  3. Step 3: Cross multiply
    1,742.77x = 2,614.49 × 647.13
  4. Step 4: Simplify right side
    1,742.77x = 1,691,914.91
  5. Step 5: Solve for x
    x = 1,691,914.91/1,742.77
  6. Step 6: Final answer
    x = 970.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.