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Finding the Fourth Proportional to 565.75, 780.01 and 408.30

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Solution

The fourth proportional to 565.75, 780.01 and 408.30 is: 562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 780.01 = 408.30 : x
  2. Step 2: Convert to fraction form
    565.75/780.01 = 408.30/x
  3. Step 3: Cross multiply
    565.75x = 780.01 × 408.30
  4. Step 4: Simplify right side
    565.75x = 318,478.08
  5. Step 5: Solve for x
    x = 318,478.08/565.75
  6. Step 6: Final answer
    x = 562.93

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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.