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Finding the Fourth Proportional to 800.57, 1,105.29 and 653.55

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Solution

The fourth proportional to 800.57, 1,105.29 and 653.55 is: 902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.57 : 1,105.29 = 653.55 : x
  2. Step 2: Convert to fraction form
    800.57/1,105.29 = 653.55/x
  3. Step 3: Cross multiply
    800.57x = 1,105.29 × 653.55
  4. Step 4: Simplify right side
    800.57x = 722,362.28
  5. Step 5: Solve for x
    x = 722,362.28/800.57
  6. Step 6: Final answer
    x = 902.32

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1.5x scale

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.