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Finding the Fourth Proportional to 562.80, 776.34 and 341.76

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Solution

The fourth proportional to 562.80, 776.34 and 341.76 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.80 : 776.34 = 341.76 : x
  2. Step 2: Convert to fraction form
    562.80/776.34 = 341.76/x
  3. Step 3: Cross multiply
    562.80x = 776.34 × 341.76
  4. Step 4: Simplify right side
    562.80x = 265,321.96
  5. Step 5: Solve for x
    x = 265,321.96/562.80
  6. Step 6: Final answer
    x = 471.43

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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.