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Finding the Fourth Proportional to 565.75, 780.75 and 369.61

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Solution

The fourth proportional to 565.75, 780.75 and 369.61 is: 510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 780.75 = 369.61 : x
  2. Step 2: Convert to fraction form
    565.75/780.75 = 369.61/x
  3. Step 3: Cross multiply
    565.75x = 780.75 × 369.61
  4. Step 4: Simplify right side
    565.75x = 288,573.01
  5. Step 5: Solve for x
    x = 288,573.01/565.75
  6. Step 6: Final answer
    x = 510.07

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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.