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Finding the Fourth Proportional to 387.91, 578.13 and 384.68

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Solution

The fourth proportional to 387.91, 578.13 and 384.68 is: 573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.91 : 578.13 = 384.68 : x
  2. Step 2: Convert to fraction form
    387.91/578.13 = 384.68/x
  3. Step 3: Cross multiply
    387.91x = 578.13 × 384.68
  4. Step 4: Simplify right side
    387.91x = 222,396.13
  5. Step 5: Solve for x
    x = 222,396.13/387.91
  6. Step 6: Final answer
    x = 573.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.