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Finding the Fourth Proportional to 774.27, 1,068.03 and 538.43

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Solution

The fourth proportional to 774.27, 1,068.03 and 538.43 is: 742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.27 : 1,068.03 = 538.43 : x
  2. Step 2: Convert to fraction form
    774.27/1,068.03 = 538.43/x
  3. Step 3: Cross multiply
    774.27x = 1,068.03 × 538.43
  4. Step 4: Simplify right side
    774.27x = 575,054.05
  5. Step 5: Solve for x
    x = 575,054.05/774.27
  6. Step 6: Final answer
    x = 742.70

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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.