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Finding the Fourth Proportional to 763.71, 1,055.39 and 543.75

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Solution

The fourth proportional to 763.71, 1,055.39 and 543.75 is: 751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.71 : 1,055.39 = 543.75 : x
  2. Step 2: Convert to fraction form
    763.71/1,055.39 = 543.75/x
  3. Step 3: Cross multiply
    763.71x = 1,055.39 × 543.75
  4. Step 4: Simplify right side
    763.71x = 573,865.59
  5. Step 5: Solve for x
    x = 573,865.59/763.71
  6. Step 6: Final answer
    x = 751.42

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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.