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Finding the Fourth Proportional to 790.24, 1,089.78 and 538.72

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Solution

The fourth proportional to 790.24, 1,089.78 and 538.72 is: 742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.24 : 1,089.78 = 538.72 : x
  2. Step 2: Convert to fraction form
    790.24/1,089.78 = 538.72/x
  3. Step 3: Cross multiply
    790.24x = 1,089.78 × 538.72
  4. Step 4: Simplify right side
    790.24x = 587,086.28
  5. Step 5: Solve for x
    x = 587,086.28/790.24
  6. Step 6: Final answer
    x = 742.92

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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.