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Finding the Fourth Proportional to 1,751.13, 2,627.16 and 655.61

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Solution

The fourth proportional to 1,751.13, 2,627.16 and 655.61 is: 983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.13 : 2,627.16 = 655.61 : x
  2. Step 2: Convert to fraction form
    1,751.13/2,627.16 = 655.61/x
  3. Step 3: Cross multiply
    1,751.13x = 2,627.16 × 655.61
  4. Step 4: Simplify right side
    1,751.13x = 1,722,379.23
  5. Step 5: Solve for x
    x = 1,722,379.23/1,751.13
  6. Step 6: Final answer
    x = 983.58

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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.