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Finding the Fourth Proportional to 562, 774.82 and 491.42

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Solution

The fourth proportional to 562, 774.82 and 491.42 is: 677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 774.82 = 491.42 : x
  2. Step 2: Convert to fraction form
    562/774.82 = 491.42/x
  3. Step 3: Cross multiply
    562x = 774.82 × 491.42
  4. Step 4: Simplify right side
    562x = 380,762.04
  5. Step 5: Solve for x
    x = 380,762.04/562
  6. Step 6: Final answer
    x = 677.51

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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.