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Finding the Fourth Proportional to 585.40, 807.86 and 323.42

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Solution

The fourth proportional to 585.40, 807.86 and 323.42 is: 446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 807.86 = 323.42 : x
  2. Step 2: Convert to fraction form
    585.40/807.86 = 323.42/x
  3. Step 3: Cross multiply
    585.40x = 807.86 × 323.42
  4. Step 4: Simplify right side
    585.40x = 261,278.08
  5. Step 5: Solve for x
    x = 261,278.08/585.40
  6. Step 6: Final answer
    x = 446.32

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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.