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Finding the Fourth Proportional to 1,228.68, 1,697.24 and 981.73

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Solution

The fourth proportional to 1,228.68, 1,697.24 and 981.73 is: 1,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.68 : 1,697.24 = 981.73 : x
  2. Step 2: Convert to fraction form
    1,228.68/1,697.24 = 981.73/x
  3. Step 3: Cross multiply
    1,228.68x = 1,697.24 × 981.73
  4. Step 4: Simplify right side
    1,228.68x = 1,666,230.48
  5. Step 5: Solve for x
    x = 1,666,230.48/1,228.68
  6. Step 6: Final answer
    x = 1,356.11

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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.