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Finding the Fourth Proportional to 898.56, 1,238.15 and 688.73

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Solution

The fourth proportional to 898.56, 1,238.15 and 688.73 is: 949.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.56 : 1,238.15 = 688.73 : x
  2. Step 2: Convert to fraction form
    898.56/1,238.15 = 688.73/x
  3. Step 3: Cross multiply
    898.56x = 1,238.15 × 688.73
  4. Step 4: Simplify right side
    898.56x = 852,741.42
  5. Step 5: Solve for x
    x = 852,741.42/898.56
  6. Step 6: Final answer
    x = 949.01

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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.