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Finding the Fourth Proportional to 698.71, 1,046.44 and 583.15

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Solution

The fourth proportional to 698.71, 1,046.44 and 583.15 is: 873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.71 : 1,046.44 = 583.15 : x
  2. Step 2: Convert to fraction form
    698.71/1,046.44 = 583.15/x
  3. Step 3: Cross multiply
    698.71x = 1,046.44 × 583.15
  4. Step 4: Simplify right side
    698.71x = 610,231.49
  5. Step 5: Solve for x
    x = 610,231.49/698.71
  6. Step 6: Final answer
    x = 873.37

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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.