Home / 1,454.40-2,180.96-428.16

Finding the Fourth Proportional to 1,454.40, 2,180.96 and 428.16

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Solution

The fourth proportional to 1,454.40, 2,180.96 and 428.16 is: 642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.40 : 2,180.96 = 428.16 : x
  2. Step 2: Convert to fraction form
    1,454.40/2,180.96 = 428.16/x
  3. Step 3: Cross multiply
    1,454.40x = 2,180.96 × 428.16
  4. Step 4: Simplify right side
    1,454.40x = 933,799.83
  5. Step 5: Solve for x
    x = 933,799.83/1,454.40
  6. Step 6: Final answer
    x = 642.05

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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.