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Finding the Fourth Proportional to 563.13, 776.90 and 366.57

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Solution

The fourth proportional to 563.13, 776.90 and 366.57 is: 505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.13 : 776.90 = 366.57 : x
  2. Step 2: Convert to fraction form
    563.13/776.90 = 366.57/x
  3. Step 3: Cross multiply
    563.13x = 776.90 × 366.57
  4. Step 4: Simplify right side
    563.13x = 284,786.40
  5. Step 5: Solve for x
    x = 284,786.40/563.13
  6. Step 6: Final answer
    x = 505.72

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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.