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Finding the Fourth Proportional to 773.36, 1,154.41 and 716.25

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Solution

The fourth proportional to 773.36, 1,154.41 and 716.25 is: 1,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.36 : 1,154.41 = 716.25 : x
  2. Step 2: Convert to fraction form
    773.36/1,154.41 = 716.25/x
  3. Step 3: Cross multiply
    773.36x = 1,154.41 × 716.25
  4. Step 4: Simplify right side
    773.36x = 826,844.37
  5. Step 5: Solve for x
    x = 826,844.37/773.36
  6. Step 6: Final answer
    x = 1,069.17

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1.5x scale

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.