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Finding the Fourth Proportional to 1,697.16, 2,543.42 and 873.69

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Solution

The fourth proportional to 1,697.16, 2,543.42 and 873.69 is: 1,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.16 : 2,543.42 = 873.69 : x
  2. Step 2: Convert to fraction form
    1,697.16/2,543.42 = 873.69/x
  3. Step 3: Cross multiply
    1,697.16x = 2,543.42 × 873.69
  4. Step 4: Simplify right side
    1,697.16x = 2,222,156.25
  5. Step 5: Solve for x
    x = 2,222,156.25/1,697.16
  6. Step 6: Final answer
    x = 1,309.34

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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.