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Finding the Fourth Proportional to 582.71, 804.17 and 431.44

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Solution

The fourth proportional to 582.71, 804.17 and 431.44 is: 595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.71 : 804.17 = 431.44 : x
  2. Step 2: Convert to fraction form
    582.71/804.17 = 431.44/x
  3. Step 3: Cross multiply
    582.71x = 804.17 × 431.44
  4. Step 4: Simplify right side
    582.71x = 346,950.17
  5. Step 5: Solve for x
    x = 346,950.17/582.71
  6. Step 6: Final answer
    x = 595.41

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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.