Home / 1,380.89-2,070.56-456.20

Finding the Fourth Proportional to 1,380.89, 2,070.56 and 456.20

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Solution

The fourth proportional to 1,380.89, 2,070.56 and 456.20 is: 684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.89 : 2,070.56 = 456.20 : x
  2. Step 2: Convert to fraction form
    1,380.89/2,070.56 = 456.20/x
  3. Step 3: Cross multiply
    1,380.89x = 2,070.56 × 456.20
  4. Step 4: Simplify right side
    1,380.89x = 944,588.02
  5. Step 5: Solve for x
    x = 944,588.02/1,380.89
  6. Step 6: Final answer
    x = 684.04

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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.