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Finding the Fourth Proportional to 585.37, 807.71 and 378.25

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Solution

The fourth proportional to 585.37, 807.71 and 378.25 is: 521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.37 : 807.71 = 378.25 : x
  2. Step 2: Convert to fraction form
    585.37/807.71 = 378.25/x
  3. Step 3: Cross multiply
    585.37x = 807.71 × 378.25
  4. Step 4: Simplify right side
    585.37x = 305,514.42
  5. Step 5: Solve for x
    x = 305,514.42/585.37
  6. Step 6: Final answer
    x = 521.92

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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.