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Finding the Fourth Proportional to 1,110.61, 1,532.62 and 613.28

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Solution

The fourth proportional to 1,110.61, 1,532.62 and 613.28 is: 846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.61 : 1,532.62 = 613.28 : x
  2. Step 2: Convert to fraction form
    1,110.61/1,532.62 = 613.28/x
  3. Step 3: Cross multiply
    1,110.61x = 1,532.62 × 613.28
  4. Step 4: Simplify right side
    1,110.61x = 939,929.79
  5. Step 5: Solve for x
    x = 939,929.79/1,110.61
  6. Step 6: Final answer
    x = 846.32

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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.