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Finding the Fourth Proportional to 1,091.77, 1,506.31 and 718.61

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Solution

The fourth proportional to 1,091.77, 1,506.31 and 718.61 is: 991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.77 : 1,506.31 = 718.61 : x
  2. Step 2: Convert to fraction form
    1,091.77/1,506.31 = 718.61/x
  3. Step 3: Cross multiply
    1,091.77x = 1,506.31 × 718.61
  4. Step 4: Simplify right side
    1,091.77x = 1,082,449.43
  5. Step 5: Solve for x
    x = 1,082,449.43/1,091.77
  6. Step 6: Final answer
    x = 991.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.