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Finding the Fourth Proportional to 773.40, 1,154.48 and 716.30

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Solution

The fourth proportional to 773.40, 1,154.48 and 716.30 is: 1,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.40 : 1,154.48 = 716.30 : x
  2. Step 2: Convert to fraction form
    773.40/1,154.48 = 716.30/x
  3. Step 3: Cross multiply
    773.40x = 1,154.48 × 716.30
  4. Step 4: Simplify right side
    773.40x = 826,950.04
  5. Step 5: Solve for x
    x = 826,950.04/773.40
  6. Step 6: Final answer
    x = 1,069.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.