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Finding the Fourth Proportional to 800.19, 1,108.54 and 781.05

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Solution

The fourth proportional to 800.19, 1,108.54 and 781.05 is: 1,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.19 : 1,108.54 = 781.05 : x
  2. Step 2: Convert to fraction form
    800.19/1,108.54 = 781.05/x
  3. Step 3: Cross multiply
    800.19x = 1,108.54 × 781.05
  4. Step 4: Simplify right side
    800.19x = 865,822.79
  5. Step 5: Solve for x
    x = 865,822.79/800.19
  6. Step 6: Final answer
    x = 1,082.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.