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Finding the Fourth Proportional to 565.31, 780.20 and 369.26

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Solution

The fourth proportional to 565.31, 780.20 and 369.26 is: 509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 780.20 = 369.26 : x
  2. Step 2: Convert to fraction form
    565.31/780.20 = 369.26/x
  3. Step 3: Cross multiply
    565.31x = 780.20 × 369.26
  4. Step 4: Simplify right side
    565.31x = 288,095.22
  5. Step 5: Solve for x
    x = 288,095.22/565.31
  6. Step 6: Final answer
    x = 509.62

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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.