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Finding the Fourth Proportional to 578.88, 869.28 and 384.48

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Solution

The fourth proportional to 578.88, 869.28 and 384.48 is: 577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.88 : 869.28 = 384.48 : x
  2. Step 2: Convert to fraction form
    578.88/869.28 = 384.48/x
  3. Step 3: Cross multiply
    578.88x = 869.28 × 384.48
  4. Step 4: Simplify right side
    578.88x = 334,220.77
  5. Step 5: Solve for x
    x = 334,220.77/578.88
  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.