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Finding the Fourth Proportional to 1,110.71, 1,533.43 and 691.61

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Solution

The fourth proportional to 1,110.71, 1,533.43 and 691.61 is: 954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.71 : 1,533.43 = 691.61 : x
  2. Step 2: Convert to fraction form
    1,110.71/1,533.43 = 691.61/x
  3. Step 3: Cross multiply
    1,110.71x = 1,533.43 × 691.61
  4. Step 4: Simplify right side
    1,110.71x = 1,060,528.72
  5. Step 5: Solve for x
    x = 1,060,528.72/1,110.71
  6. Step 6: Final answer
    x = 954.82

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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.