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Finding the Fourth Proportional to 563.34, 777.21 and 376.95

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Solution

The fourth proportional to 563.34, 777.21 and 376.95 is: 520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.34 : 777.21 = 376.95 : x
  2. Step 2: Convert to fraction form
    563.34/777.21 = 376.95/x
  3. Step 3: Cross multiply
    563.34x = 777.21 × 376.95
  4. Step 4: Simplify right side
    563.34x = 292,969.31
  5. Step 5: Solve for x
    x = 292,969.31/563.34
  6. Step 6: Final answer
    x = 520.06

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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.