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Finding the Fourth Proportional to 1,752.77, 2,627.32 and 655.62

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Solution

The fourth proportional to 1,752.77, 2,627.32 and 655.62 is: 982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.77 : 2,627.32 = 655.62 : x
  2. Step 2: Convert to fraction form
    1,752.77/2,627.32 = 655.62/x
  3. Step 3: Cross multiply
    1,752.77x = 2,627.32 × 655.62
  4. Step 4: Simplify right side
    1,752.77x = 1,722,523.54
  5. Step 5: Solve for x
    x = 1,722,523.54/1,752.77
  6. Step 6: Final answer
    x = 982.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.