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Finding the Fourth Proportional to 877.20, 1,315.84 and 445.20

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Solution

The fourth proportional to 877.20, 1,315.84 and 445.20 is: 667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.20 : 1,315.84 = 445.20 : x
  2. Step 2: Convert to fraction form
    877.20/1,315.84 = 445.20/x
  3. Step 3: Cross multiply
    877.20x = 1,315.84 × 445.20
  4. Step 4: Simplify right side
    877.20x = 585,811.97
  5. Step 5: Solve for x
    x = 585,811.97/877.20
  6. Step 6: Final answer
    x = 667.82

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