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Finding the Fourth Proportional to 566.32, 780.81 and 369.49

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Solution

The fourth proportional to 566.32, 780.81 and 369.49 is: 509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.32 : 780.81 = 369.49 : x
  2. Step 2: Convert to fraction form
    566.32/780.81 = 369.49/x
  3. Step 3: Cross multiply
    566.32x = 780.81 × 369.49
  4. Step 4: Simplify right side
    566.32x = 288,501.49
  5. Step 5: Solve for x
    x = 288,501.49/566.32
  6. Step 6: Final answer
    x = 509.43

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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.