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Finding the Fourth Proportional to 582.20, 803.20 and 346.12

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Solution

The fourth proportional to 582.20, 803.20 and 346.12 is: 477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.20 : 803.20 = 346.12 : x
  2. Step 2: Convert to fraction form
    582.20/803.20 = 346.12/x
  3. Step 3: Cross multiply
    582.20x = 803.20 × 346.12
  4. Step 4: Simplify right side
    582.20x = 278,003.58
  5. Step 5: Solve for x
    x = 278,003.58/582.20
  6. Step 6: Final answer
    x = 477.51

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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.