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Finding the Fourth Proportional to 1,110.62, 1,532.61 and 613.25

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Solution

The fourth proportional to 1,110.62, 1,532.61 and 613.25 is: 846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.62 : 1,532.61 = 613.25 : x
  2. Step 2: Convert to fraction form
    1,110.62/1,532.61 = 613.25/x
  3. Step 3: Cross multiply
    1,110.62x = 1,532.61 × 613.25
  4. Step 4: Simplify right side
    1,110.62x = 939,865.42
  5. Step 5: Solve for x
    x = 939,865.42/1,110.62
  6. Step 6: Final answer
    x = 846.26

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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.