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Finding the Fourth Proportional to 562.16, 774.87 and 443.93

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Solution

The fourth proportional to 562.16, 774.87 and 443.93 is: 611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.16 : 774.87 = 443.93 : x
  2. Step 2: Convert to fraction form
    562.16/774.87 = 443.93/x
  3. Step 3: Cross multiply
    562.16x = 774.87 × 443.93
  4. Step 4: Simplify right side
    562.16x = 343,984.16
  5. Step 5: Solve for x
    x = 343,984.16/562.16
  6. Step 6: Final answer
    x = 611.90

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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.