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Finding the Fourth Proportional to 563.39, 777.80 and 377.49

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Solution

The fourth proportional to 563.39, 777.80 and 377.49 is: 521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.39 : 777.80 = 377.49 : x
  2. Step 2: Convert to fraction form
    563.39/777.80 = 377.49/x
  3. Step 3: Cross multiply
    563.39x = 777.80 × 377.49
  4. Step 4: Simplify right side
    563.39x = 293,615.58
  5. Step 5: Solve for x
    x = 293,615.58/563.39
  6. Step 6: Final answer
    x = 521.16

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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.