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Finding the Fourth Proportional to 698.74, 1,047.25 and 611.87

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Solution

The fourth proportional to 698.74, 1,047.25 and 611.87 is: 917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.74 : 1,047.25 = 611.87 : x
  2. Step 2: Convert to fraction form
    698.74/1,047.25 = 611.87/x
  3. Step 3: Cross multiply
    698.74x = 1,047.25 × 611.87
  4. Step 4: Simplify right side
    698.74x = 640,780.86
  5. Step 5: Solve for x
    x = 640,780.86/698.74
  6. Step 6: Final answer
    x = 917.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.