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Finding the Fourth Proportional to 566.51, 849.34 and 319.71

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Solution

The fourth proportional to 566.51, 849.34 and 319.71 is: 479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.51 : 849.34 = 319.71 : x
  2. Step 2: Convert to fraction form
    566.51/849.34 = 319.71/x
  3. Step 3: Cross multiply
    566.51x = 849.34 × 319.71
  4. Step 4: Simplify right side
    566.51x = 271,542.49
  5. Step 5: Solve for x
    x = 271,542.49/566.51
  6. Step 6: Final answer
    x = 479.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.