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Finding the Fourth Proportional to 649.30, 896.00 and 400.64

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Solution

The fourth proportional to 649.30, 896.00 and 400.64 is: 552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.30 : 896.00 = 400.64 : x
  2. Step 2: Convert to fraction form
    649.30/896.00 = 400.64/x
  3. Step 3: Cross multiply
    649.30x = 896.00 × 400.64
  4. Step 4: Simplify right side
    649.30x = 358,966.96
  5. Step 5: Solve for x
    x = 358,966.96/649.30
  6. Step 6: Final answer
    x = 552.85

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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.