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Finding the Fourth Proportional to 561.97, 774.71 and 437.39

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Solution

The fourth proportional to 561.97, 774.71 and 437.39 is: 602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.97 : 774.71 = 437.39 : x
  2. Step 2: Convert to fraction form
    561.97/774.71 = 437.39/x
  3. Step 3: Cross multiply
    561.97x = 774.71 × 437.39
  4. Step 4: Simplify right side
    561.97x = 338,844.35
  5. Step 5: Solve for x
    x = 338,844.35/561.97
  6. Step 6: Final answer
    x = 602.96

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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.