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Finding the Fourth Proportional to 566.16, 780.57 and 379.68

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Solution

The fourth proportional to 566.16, 780.57 and 379.68 is: 523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 780.57 = 379.68 : x
  2. Step 2: Convert to fraction form
    566.16/780.57 = 379.68/x
  3. Step 3: Cross multiply
    566.16x = 780.57 × 379.68
  4. Step 4: Simplify right side
    566.16x = 296,366.82
  5. Step 5: Solve for x
    x = 296,366.82/566.16
  6. Step 6: Final answer
    x = 523.47

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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.