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Finding the Fourth Proportional to 1,110.26, 1,532.66 and 706.65

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Solution

The fourth proportional to 1,110.26, 1,532.66 and 706.65 is: 975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.26 : 1,532.66 = 706.65 : x
  2. Step 2: Convert to fraction form
    1,110.26/1,532.66 = 706.65/x
  3. Step 3: Cross multiply
    1,110.26x = 1,532.66 × 706.65
  4. Step 4: Simplify right side
    1,110.26x = 1,083,046.82
  5. Step 5: Solve for x
    x = 1,083,046.82/1,110.26
  6. Step 6: Final answer
    x = 975.49

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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.