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Finding the Fourth Proportional to 701.07, 1,047.49 and 676.86

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Solution

The fourth proportional to 701.07, 1,047.49 and 676.86 is: 1,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.07 : 1,047.49 = 676.86 : x
  2. Step 2: Convert to fraction form
    701.07/1,047.49 = 676.86/x
  3. Step 3: Cross multiply
    701.07x = 1,047.49 × 676.86
  4. Step 4: Simplify right side
    701.07x = 709,004.08
  5. Step 5: Solve for x
    x = 709,004.08/701.07
  6. Step 6: Final answer
    x = 1,011.32

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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.