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Finding the Fourth Proportional to 582.12, 803.28 and 320.09

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Solution

The fourth proportional to 582.12, 803.28 and 320.09 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.12 : 803.28 = 320.09 : x
  2. Step 2: Convert to fraction form
    582.12/803.28 = 320.09/x
  3. Step 3: Cross multiply
    582.12x = 803.28 × 320.09
  4. Step 4: Simplify right side
    582.12x = 257,121.90
  5. Step 5: Solve for x
    x = 257,121.90/582.12
  6. Step 6: Final answer
    x = 441.70

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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.