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Finding the Fourth Proportional to 582.31, 803.64 and 330.27

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Solution

The fourth proportional to 582.31, 803.64 and 330.27 is: 455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.31 : 803.64 = 330.27 : x
  2. Step 2: Convert to fraction form
    582.31/803.64 = 330.27/x
  3. Step 3: Cross multiply
    582.31x = 803.64 × 330.27
  4. Step 4: Simplify right side
    582.31x = 265,418.18
  5. Step 5: Solve for x
    x = 265,418.18/582.31
  6. Step 6: Final answer
    x = 455.80

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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.