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Finding the Fourth Proportional to 1,571.32, 2,355.90 and 800.20

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Solution

The fourth proportional to 1,571.32, 2,355.90 and 800.20 is: 1,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.32 : 2,355.90 = 800.20 : x
  2. Step 2: Convert to fraction form
    1,571.32/2,355.90 = 800.20/x
  3. Step 3: Cross multiply
    1,571.32x = 2,355.90 × 800.20
  4. Step 4: Simplify right side
    1,571.32x = 1,885,191.18
  5. Step 5: Solve for x
    x = 1,885,191.18/1,571.32
  6. Step 6: Final answer
    x = 1,199.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.