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Finding the Fourth Proportional to 651.36, 898.96 and 385.78

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Solution

The fourth proportional to 651.36, 898.96 and 385.78 is: 532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.36 : 898.96 = 385.78 : x
  2. Step 2: Convert to fraction form
    651.36/898.96 = 385.78/x
  3. Step 3: Cross multiply
    651.36x = 898.96 × 385.78
  4. Step 4: Simplify right side
    651.36x = 346,803.15
  5. Step 5: Solve for x
    x = 346,803.15/651.36
  6. Step 6: Final answer
    x = 532.43

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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.