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Finding the Fourth Proportional to 578.66, 867.98 and 384.91

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Solution

The fourth proportional to 578.66, 867.98 and 384.91 is: 577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.66 : 867.98 = 384.91 : x
  2. Step 2: Convert to fraction form
    578.66/867.98 = 384.91/x
  3. Step 3: Cross multiply
    578.66x = 867.98 × 384.91
  4. Step 4: Simplify right side
    578.66x = 334,092.97
  5. Step 5: Solve for x
    x = 334,092.97/578.66
  6. Step 6: Final answer
    x = 577.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.