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Finding the Fourth Proportional to 565.25, 780.06 and 369.11

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Solution

The fourth proportional to 565.25, 780.06 and 369.11 is: 509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.25 : 780.06 = 369.11 : x
  2. Step 2: Convert to fraction form
    565.25/780.06 = 369.11/x
  3. Step 3: Cross multiply
    565.25x = 780.06 × 369.11
  4. Step 4: Simplify right side
    565.25x = 287,927.95
  5. Step 5: Solve for x
    x = 287,927.95/565.25
  6. Step 6: Final answer
    x = 509.38

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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.