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Finding the Fourth Proportional to 959.47, 1,324.07 and 539.84

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Solution

The fourth proportional to 959.47, 1,324.07 and 539.84 is: 744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.47 : 1,324.07 = 539.84 : x
  2. Step 2: Convert to fraction form
    959.47/1,324.07 = 539.84/x
  3. Step 3: Cross multiply
    959.47x = 1,324.07 × 539.84
  4. Step 4: Simplify right side
    959.47x = 714,783.25
  5. Step 5: Solve for x
    x = 714,783.25/959.47
  6. Step 6: Final answer
    x = 744.98

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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.