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Finding the Fourth Proportional to 563.94, 778.99 and 511.54

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Solution

The fourth proportional to 563.94, 778.99 and 511.54 is: 706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.94 : 778.99 = 511.54 : x
  2. Step 2: Convert to fraction form
    563.94/778.99 = 511.54/x
  3. Step 3: Cross multiply
    563.94x = 778.99 × 511.54
  4. Step 4: Simplify right side
    563.94x = 398,484.54
  5. Step 5: Solve for x
    x = 398,484.54/563.94
  6. Step 6: Final answer
    x = 706.61

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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.