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Finding the Fourth Proportional to 649.63, 896.33 and 384.10

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Solution

The fourth proportional to 649.63, 896.33 and 384.10 is: 529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 896.33 = 384.10 : x
  2. Step 2: Convert to fraction form
    649.63/896.33 = 384.10/x
  3. Step 3: Cross multiply
    649.63x = 896.33 × 384.10
  4. Step 4: Simplify right side
    649.63x = 344,280.35
  5. Step 5: Solve for x
    x = 344,280.35/649.63
  6. Step 6: Final answer
    x = 529.96

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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.