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Finding the Fourth Proportional to 651.28, 900.49 and 569.27

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Solution

The fourth proportional to 651.28, 900.49 and 569.27 is: 787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.28 : 900.49 = 569.27 : x
  2. Step 2: Convert to fraction form
    651.28/900.49 = 569.27/x
  3. Step 3: Cross multiply
    651.28x = 900.49 × 569.27
  4. Step 4: Simplify right side
    651.28x = 512,617.44
  5. Step 5: Solve for x
    x = 512,617.44/651.28
  6. Step 6: Final answer
    x = 787.10

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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.