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Finding the Fourth Proportional to 648.78, 896.00 and 560.09

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Solution

The fourth proportional to 648.78, 896.00 and 560.09 is: 773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.78 : 896.00 = 560.09 : x
  2. Step 2: Convert to fraction form
    648.78/896.00 = 560.09/x
  3. Step 3: Cross multiply
    648.78x = 896.00 × 560.09
  4. Step 4: Simplify right side
    648.78x = 501,833.36
  5. Step 5: Solve for x
    x = 501,833.36/648.78
  6. Step 6: Final answer
    x = 773.50

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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.