Home / 1,435.20-2,152.80-461.30

Finding the Fourth Proportional to 1,435.20, 2,152.80 and 461.30

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Solution

The fourth proportional to 1,435.20, 2,152.80 and 461.30 is: 691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.20 : 2,152.80 = 461.30 : x
  2. Step 2: Convert to fraction form
    1,435.20/2,152.80 = 461.30/x
  3. Step 3: Cross multiply
    1,435.20x = 2,152.80 × 461.30
  4. Step 4: Simplify right side
    1,435.20x = 993,086.64
  5. Step 5: Solve for x
    x = 993,086.64/1,435.20
  6. Step 6: Final answer
    x = 691.95

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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.