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Finding the Fourth Proportional to 563.35, 839.48 and 547.49

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Solution

The fourth proportional to 563.35, 839.48 and 547.49 is: 815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.35 : 839.48 = 547.49 : x
  2. Step 2: Convert to fraction form
    563.35/839.48 = 547.49/x
  3. Step 3: Cross multiply
    563.35x = 839.48 × 547.49
  4. Step 4: Simplify right side
    563.35x = 459,604.17
  5. Step 5: Solve for x
    x = 459,604.17/563.35
  6. Step 6: Final answer
    x = 815.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.