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Finding the Fourth Proportional to 565.35, 780.13 and 366.19

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Solution

The fourth proportional to 565.35, 780.13 and 366.19 is: 505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.35 : 780.13 = 366.19 : x
  2. Step 2: Convert to fraction form
    565.35/780.13 = 366.19/x
  3. Step 3: Cross multiply
    565.35x = 780.13 × 366.19
  4. Step 4: Simplify right side
    565.35x = 285,675.80
  5. Step 5: Solve for x
    x = 285,675.80/565.35
  6. Step 6: Final answer
    x = 505.31

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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.