Home / 1,475.66-2,213.33-380.04

Finding the Fourth Proportional to 1,475.66, 2,213.33 and 380.04

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Solution

The fourth proportional to 1,475.66, 2,213.33 and 380.04 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.66 : 2,213.33 = 380.04 : x
  2. Step 2: Convert to fraction form
    1,475.66/2,213.33 = 380.04/x
  3. Step 3: Cross multiply
    1,475.66x = 2,213.33 × 380.04
  4. Step 4: Simplify right side
    1,475.66x = 841,153.93
  5. Step 5: Solve for x
    x = 841,153.93/1,475.66
  6. Step 6: Final answer
    x = 570.02

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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.