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Finding the Fourth Proportional to 1,110.14, 1,531.76 and 644.12

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Solution

The fourth proportional to 1,110.14, 1,531.76 and 644.12 is: 888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.14 : 1,531.76 = 644.12 : x
  2. Step 2: Convert to fraction form
    1,110.14/1,531.76 = 644.12/x
  3. Step 3: Cross multiply
    1,110.14x = 1,531.76 × 644.12
  4. Step 4: Simplify right side
    1,110.14x = 986,637.25
  5. Step 5: Solve for x
    x = 986,637.25/1,110.14
  6. Step 6: Final answer
    x = 888.75

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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.