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Finding the Fourth Proportional to 563.56, 778.02 and 433

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Solution

The fourth proportional to 563.56, 778.02 and 433 is: 597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 778.02 = 433 : x
  2. Step 2: Convert to fraction form
    563.56/778.02 = 433/x
  3. Step 3: Cross multiply
    563.56x = 778.02 × 433
  4. Step 4: Simplify right side
    563.56x = 336,882.66
  5. Step 5: Solve for x
    x = 336,882.66/563.56
  6. Step 6: Final answer
    x = 597.78

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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.