Home / 1,005.20-1,387.15-557.06

Finding the Fourth Proportional to 1,005.20, 1,387.15 and 557.06

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Solution

The fourth proportional to 1,005.20, 1,387.15 and 557.06 is: 768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.20 : 1,387.15 = 557.06 : x
  2. Step 2: Convert to fraction form
    1,005.20/1,387.15 = 557.06/x
  3. Step 3: Cross multiply
    1,005.20x = 1,387.15 × 557.06
  4. Step 4: Simplify right side
    1,005.20x = 772,727.85
  5. Step 5: Solve for x
    x = 772,727.85/1,005.20
  6. Step 6: Final answer
    x = 768.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.