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Finding the Fourth Proportional to 566.48, 780.90 and 379.64

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Solution

The fourth proportional to 566.48, 780.90 and 379.64 is: 523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.48 : 780.90 = 379.64 : x
  2. Step 2: Convert to fraction form
    566.48/780.90 = 379.64/x
  3. Step 3: Cross multiply
    566.48x = 780.90 × 379.64
  4. Step 4: Simplify right side
    566.48x = 296,460.88
  5. Step 5: Solve for x
    x = 296,460.88/566.48
  6. Step 6: Final answer
    x = 523.34

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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.