Home / 1,557.85-2,337.72-828.04

Finding the Fourth Proportional to 1,557.85, 2,337.72 and 828.04

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Solution

The fourth proportional to 1,557.85, 2,337.72 and 828.04 is: 1,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.85 : 2,337.72 = 828.04 : x
  2. Step 2: Convert to fraction form
    1,557.85/2,337.72 = 828.04/x
  3. Step 3: Cross multiply
    1,557.85x = 2,337.72 × 828.04
  4. Step 4: Simplify right side
    1,557.85x = 1,935,725.67
  5. Step 5: Solve for x
    x = 1,935,725.67/1,557.85
  6. Step 6: Final answer
    x = 1,242.56

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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.