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Finding the Fourth Proportional to 563.59, 778 and 342.61

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Solution

The fourth proportional to 563.59, 778 and 342.61 is: 472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.59 : 778 = 342.61 : x
  2. Step 2: Convert to fraction form
    563.59/778 = 342.61/x
  3. Step 3: Cross multiply
    563.59x = 778 × 342.61
  4. Step 4: Simplify right side
    563.59x = 266,550.58
  5. Step 5: Solve for x
    x = 266,550.58/563.59
  6. Step 6: Final answer
    x = 472.95

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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.