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Finding the Fourth Proportional to 1,110.71, 1,533.72 and 691.23

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Solution

The fourth proportional to 1,110.71, 1,533.72 and 691.23 is: 954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.71 : 1,533.72 = 691.23 : x
  2. Step 2: Convert to fraction form
    1,110.71/1,533.72 = 691.23/x
  3. Step 3: Cross multiply
    1,110.71x = 1,533.72 × 691.23
  4. Step 4: Simplify right side
    1,110.71x = 1,060,149.82
  5. Step 5: Solve for x
    x = 1,060,149.82/1,110.71
  6. Step 6: Final answer
    x = 954.48

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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.