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Finding the Fourth Proportional to 959.42, 1,323.93 and 539.78

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Solution

The fourth proportional to 959.42, 1,323.93 and 539.78 is: 744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.42 : 1,323.93 = 539.78 : x
  2. Step 2: Convert to fraction form
    959.42/1,323.93 = 539.78/x
  3. Step 3: Cross multiply
    959.42x = 1,323.93 × 539.78
  4. Step 4: Simplify right side
    959.42x = 714,630.94
  5. Step 5: Solve for x
    x = 714,630.94/959.42
  6. Step 6: Final answer
    x = 744.86

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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.