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Finding the Fourth Proportional to 874.45, 1,207.47 and 781.03

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Solution

The fourth proportional to 874.45, 1,207.47 and 781.03 is: 1,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.45 : 1,207.47 = 781.03 : x
  2. Step 2: Convert to fraction form
    874.45/1,207.47 = 781.03/x
  3. Step 3: Cross multiply
    874.45x = 1,207.47 × 781.03
  4. Step 4: Simplify right side
    874.45x = 943,070.29
  5. Step 5: Solve for x
    x = 943,070.29/874.45
  6. Step 6: Final answer
    x = 1,078.47

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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.