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Finding the Fourth Proportional to 563.61, 778.86 and 406.77

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Solution

The fourth proportional to 563.61, 778.86 and 406.77 is: 562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.61 : 778.86 = 406.77 : x
  2. Step 2: Convert to fraction form
    563.61/778.86 = 406.77/x
  3. Step 3: Cross multiply
    563.61x = 778.86 × 406.77
  4. Step 4: Simplify right side
    563.61x = 316,816.88
  5. Step 5: Solve for x
    x = 316,816.88/563.61
  6. Step 6: Final answer
    x = 562.12

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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.