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Finding the Fourth Proportional to 898.50, 1,240.14 and 650.46

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Solution

The fourth proportional to 898.50, 1,240.14 and 650.46 is: 897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.50 : 1,240.14 = 650.46 : x
  2. Step 2: Convert to fraction form
    898.50/1,240.14 = 650.46/x
  3. Step 3: Cross multiply
    898.50x = 1,240.14 × 650.46
  4. Step 4: Simplify right side
    898.50x = 806,661.46
  5. Step 5: Solve for x
    x = 806,661.46/898.50
  6. Step 6: Final answer
    x = 897.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.