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Finding the Fourth Proportional to 819.79, 1,130.42 and 539.93

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Solution

The fourth proportional to 819.79, 1,130.42 and 539.93 is: 744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.79 : 1,130.42 = 539.93 : x
  2. Step 2: Convert to fraction form
    819.79/1,130.42 = 539.93/x
  3. Step 3: Cross multiply
    819.79x = 1,130.42 × 539.93
  4. Step 4: Simplify right side
    819.79x = 610,351.85
  5. Step 5: Solve for x
    x = 610,351.85/819.79
  6. Step 6: Final answer
    x = 744.52

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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.