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Finding the Fourth Proportional to 566.48, 849.69 and 319.65

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Solution

The fourth proportional to 566.48, 849.69 and 319.65 is: 479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.48 : 849.69 = 319.65 : x
  2. Step 2: Convert to fraction form
    566.48/849.69 = 319.65/x
  3. Step 3: Cross multiply
    566.48x = 849.69 × 319.65
  4. Step 4: Simplify right side
    566.48x = 271,600.22
  5. Step 5: Solve for x
    x = 271,600.22/566.48
  6. Step 6: Final answer
    x = 479.46

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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.