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Finding the Fourth Proportional to 585.15, 807.66 and 349.14

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Solution

The fourth proportional to 585.15, 807.66 and 349.14 is: 481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.15 : 807.66 = 349.14 : x
  2. Step 2: Convert to fraction form
    585.15/807.66 = 349.14/x
  3. Step 3: Cross multiply
    585.15x = 807.66 × 349.14
  4. Step 4: Simplify right side
    585.15x = 281,986.41
  5. Step 5: Solve for x
    x = 281,986.41/585.15
  6. Step 6: Final answer
    x = 481.90

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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.