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Finding the Fourth Proportional to 1,107.11, 1,526.17 and 708.73

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Solution

The fourth proportional to 1,107.11, 1,526.17 and 708.73 is: 977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.11 : 1,526.17 = 708.73 : x
  2. Step 2: Convert to fraction form
    1,107.11/1,526.17 = 708.73/x
  3. Step 3: Cross multiply
    1,107.11x = 1,526.17 × 708.73
  4. Step 4: Simplify right side
    1,107.11x = 1,081,642.46
  5. Step 5: Solve for x
    x = 1,081,642.46/1,107.11
  6. Step 6: Final answer
    x = 977.00

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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.