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Finding the Fourth Proportional to 582.13, 803.31 and 320.09

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Solution

The fourth proportional to 582.13, 803.31 and 320.09 is: 441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.13 : 803.31 = 320.09 : x
  2. Step 2: Convert to fraction form
    582.13/803.31 = 320.09/x
  3. Step 3: Cross multiply
    582.13x = 803.31 × 320.09
  4. Step 4: Simplify right side
    582.13x = 257,132.31
  5. Step 5: Solve for x
    x = 257,132.31/582.13
  6. Step 6: Final answer
    x = 441.71

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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.