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Finding the Fourth Proportional to 711.11, 1,059.65 and 703.22

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Solution

The fourth proportional to 711.11, 1,059.65 and 703.22 is: 1,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.11 : 1,059.65 = 703.22 : x
  2. Step 2: Convert to fraction form
    711.11/1,059.65 = 703.22/x
  3. Step 3: Cross multiply
    711.11x = 1,059.65 × 703.22
  4. Step 4: Simplify right side
    711.11x = 745,160.90
  5. Step 5: Solve for x
    x = 745,160.90/711.11
  6. Step 6: Final answer
    x = 1,047.88

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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.