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Finding the Fourth Proportional to 565.48, 780.60 and 369.28

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Solution

The fourth proportional to 565.48, 780.60 and 369.28 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.48 : 780.60 = 369.28 : x
  2. Step 2: Convert to fraction form
    565.48/780.60 = 369.28/x
  3. Step 3: Cross multiply
    565.48x = 780.60 × 369.28
  4. Step 4: Simplify right side
    565.48x = 288,259.97
  5. Step 5: Solve for x
    x = 288,259.97/565.48
  6. Step 6: Final answer
    x = 509.76

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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.