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Finding the Fourth Proportional to 582.18, 803.41 and 320.19

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Solution

The fourth proportional to 582.18, 803.41 and 320.19 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.18 : 803.41 = 320.19 : x
  2. Step 2: Convert to fraction form
    582.18/803.41 = 320.19/x
  3. Step 3: Cross multiply
    582.18x = 803.41 × 320.19
  4. Step 4: Simplify right side
    582.18x = 257,245.46
  5. Step 5: Solve for x
    x = 257,245.46/582.18
  6. Step 6: Final answer
    x = 441.86

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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.