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Finding the Fourth Proportional to 679.52, 1,021.56 and 536.96

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Solution

The fourth proportional to 679.52, 1,021.56 and 536.96 is: 807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.52 : 1,021.56 = 536.96 : x
  2. Step 2: Convert to fraction form
    679.52/1,021.56 = 536.96/x
  3. Step 3: Cross multiply
    679.52x = 1,021.56 × 536.96
  4. Step 4: Simplify right side
    679.52x = 548,536.86
  5. Step 5: Solve for x
    x = 548,536.86/679.52
  6. Step 6: Final answer
    x = 807.24

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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.