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Finding the Fourth Proportional to 1,110.84, 1,532.97 and 638.73

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Solution

The fourth proportional to 1,110.84, 1,532.97 and 638.73 is: 881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.84 : 1,532.97 = 638.73 : x
  2. Step 2: Convert to fraction form
    1,110.84/1,532.97 = 638.73/x
  3. Step 3: Cross multiply
    1,110.84x = 1,532.97 × 638.73
  4. Step 4: Simplify right side
    1,110.84x = 979,153.93
  5. Step 5: Solve for x
    x = 979,153.93/1,110.84
  6. Step 6: Final answer
    x = 881.45

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1.5x scale

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.