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Finding the Fourth Proportional to 698.50, 1,047.75 and 265.83

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Solution

The fourth proportional to 698.50, 1,047.75 and 265.83 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 1,047.75 = 265.83 : x
  2. Step 2: Convert to fraction form
    698.50/1,047.75 = 265.83/x
  3. Step 3: Cross multiply
    698.50x = 1,047.75 × 265.83
  4. Step 4: Simplify right side
    698.50x = 278,518.14
  5. Step 5: Solve for x
    x = 278,518.14/698.50
  6. Step 6: Final answer
    x = 398.74

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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.