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Finding the Fourth Proportional to 1,200.59, 1,657.76 and 981.89

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Solution

The fourth proportional to 1,200.59, 1,657.76 and 981.89 is: 1,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.59 : 1,657.76 = 981.89 : x
  2. Step 2: Convert to fraction form
    1,200.59/1,657.76 = 981.89/x
  3. Step 3: Cross multiply
    1,200.59x = 1,657.76 × 981.89
  4. Step 4: Simplify right side
    1,200.59x = 1,627,724.77
  5. Step 5: Solve for x
    x = 1,627,724.77/1,200.59
  6. Step 6: Final answer
    x = 1,355.78

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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.