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Finding the Fourth Proportional to 800.95, 1,105.35 and 469.57

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Solution

The fourth proportional to 800.95, 1,105.35 and 469.57 is: 648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.95 : 1,105.35 = 469.57 : x
  2. Step 2: Convert to fraction form
    800.95/1,105.35 = 469.57/x
  3. Step 3: Cross multiply
    800.95x = 1,105.35 × 469.57
  4. Step 4: Simplify right side
    800.95x = 519,039.20
  5. Step 5: Solve for x
    x = 519,039.20/800.95
  6. Step 6: Final answer
    x = 648.03

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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.