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Finding the Fourth Proportional to 988.18, 1,474.59 and 856.96

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Solution

The fourth proportional to 988.18, 1,474.59 and 856.96 is: 1,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.18 : 1,474.59 = 856.96 : x
  2. Step 2: Convert to fraction form
    988.18/1,474.59 = 856.96/x
  3. Step 3: Cross multiply
    988.18x = 1,474.59 × 856.96
  4. Step 4: Simplify right side
    988.18x = 1,263,664.17
  5. Step 5: Solve for x
    x = 1,263,664.17/988.18
  6. Step 6: Final answer
    x = 1,278.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.