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Finding the Fourth Proportional to 563.81, 777.83 and 374.85

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Solution

The fourth proportional to 563.81, 777.83 and 374.85 is: 517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.81 : 777.83 = 374.85 : x
  2. Step 2: Convert to fraction form
    563.81/777.83 = 374.85/x
  3. Step 3: Cross multiply
    563.81x = 777.83 × 374.85
  4. Step 4: Simplify right side
    563.81x = 291,567.70
  5. Step 5: Solve for x
    x = 291,567.70/563.81
  6. Step 6: Final answer
    x = 517.14

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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.