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Finding the Fourth Proportional to 565.65, 780.66 and 408.78

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Solution

The fourth proportional to 565.65, 780.66 and 408.78 is: 564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.65 : 780.66 = 408.78 : x
  2. Step 2: Convert to fraction form
    565.65/780.66 = 408.78/x
  3. Step 3: Cross multiply
    565.65x = 780.66 × 408.78
  4. Step 4: Simplify right side
    565.65x = 319,118.19
  5. Step 5: Solve for x
    x = 319,118.19/565.65
  6. Step 6: Final answer
    x = 564.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.