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Finding the Fourth Proportional to 877.20, 1,314.96 and 438.16

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Solution

The fourth proportional to 877.20, 1,314.96 and 438.16 is: 656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.20 : 1,314.96 = 438.16 : x
  2. Step 2: Convert to fraction form
    877.20/1,314.96 = 438.16/x
  3. Step 3: Cross multiply
    877.20x = 1,314.96 × 438.16
  4. Step 4: Simplify right side
    877.20x = 576,162.87
  5. Step 5: Solve for x
    x = 576,162.87/877.20
  6. Step 6: Final answer
    x = 656.82

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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.