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Finding the Fourth Proportional to 585.49, 808.09 and 375.93

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Solution

The fourth proportional to 585.49, 808.09 and 375.93 is: 518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 808.09 = 375.93 : x
  2. Step 2: Convert to fraction form
    585.49/808.09 = 375.93/x
  3. Step 3: Cross multiply
    585.49x = 808.09 × 375.93
  4. Step 4: Simplify right side
    585.49x = 303,784.80
  5. Step 5: Solve for x
    x = 303,784.80/585.49
  6. Step 6: Final answer
    x = 518.86

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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.