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Finding the Fourth Proportional to 874.89, 1,207.80 and 543.51

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Solution

The fourth proportional to 874.89, 1,207.80 and 543.51 is: 750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.89 : 1,207.80 = 543.51 : x
  2. Step 2: Convert to fraction form
    874.89/1,207.80 = 543.51/x
  3. Step 3: Cross multiply
    874.89x = 1,207.80 × 543.51
  4. Step 4: Simplify right side
    874.89x = 656,451.38
  5. Step 5: Solve for x
    x = 656,451.38/874.89
  6. Step 6: Final answer
    x = 750.32

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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.