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Finding the Fourth Proportional to 877.20, 1,315.29 and 438.54

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Solution

The fourth proportional to 877.20, 1,315.29 and 438.54 is: 657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.20 : 1,315.29 = 438.54 : x
  2. Step 2: Convert to fraction form
    877.20/1,315.29 = 438.54/x
  3. Step 3: Cross multiply
    877.20x = 1,315.29 × 438.54
  4. Step 4: Simplify right side
    877.20x = 576,807.28
  5. Step 5: Solve for x
    x = 576,807.28/877.20
  6. Step 6: Final answer
    x = 657.56

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1.5x scale

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.