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Finding the Fourth Proportional to 562.89, 777.42 and 377.20

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Solution

The fourth proportional to 562.89, 777.42 and 377.20 is: 520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.89 : 777.42 = 377.20 : x
  2. Step 2: Convert to fraction form
    562.89/777.42 = 377.20/x
  3. Step 3: Cross multiply
    562.89x = 777.42 × 377.20
  4. Step 4: Simplify right side
    562.89x = 293,240.88
  5. Step 5: Solve for x
    x = 293,240.88/562.89
  6. Step 6: Final answer
    x = 520.96

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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.