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Finding the Fourth Proportional to 563.69, 777.90 and 342.59

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Solution

The fourth proportional to 563.69, 777.90 and 342.59 is: 472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.69 : 777.90 = 342.59 : x
  2. Step 2: Convert to fraction form
    563.69/777.90 = 342.59/x
  3. Step 3: Cross multiply
    563.69x = 777.90 × 342.59
  4. Step 4: Simplify right side
    563.69x = 266,496.87
  5. Step 5: Solve for x
    x = 266,496.87/563.69
  6. Step 6: Final answer
    x = 472.78

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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.