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Finding the Fourth Proportional to 582.14, 803.46 and 346.21

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Solution

The fourth proportional to 582.14, 803.46 and 346.21 is: 477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.14 : 803.46 = 346.21 : x
  2. Step 2: Convert to fraction form
    582.14/803.46 = 346.21/x
  3. Step 3: Cross multiply
    582.14x = 803.46 × 346.21
  4. Step 4: Simplify right side
    582.14x = 278,165.89
  5. Step 5: Solve for x
    x = 278,165.89/582.14
  6. Step 6: Final answer
    x = 477.83

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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.