Home / 1,155.40-1,731.48-505.78

Finding the Fourth Proportional to 1,155.40, 1,731.48 and 505.78

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Solution

The fourth proportional to 1,155.40, 1,731.48 and 505.78 is: 757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.40 : 1,731.48 = 505.78 : x
  2. Step 2: Convert to fraction form
    1,155.40/1,731.48 = 505.78/x
  3. Step 3: Cross multiply
    1,155.40x = 1,731.48 × 505.78
  4. Step 4: Simplify right side
    1,155.40x = 875,747.95
  5. Step 5: Solve for x
    x = 875,747.95/1,155.40
  6. Step 6: Final answer
    x = 757.96

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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.