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Finding the Fourth Proportional to 664.91, 916.69 and 571.25

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Solution

The fourth proportional to 664.91, 916.69 and 571.25 is: 787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.91 : 916.69 = 571.25 : x
  2. Step 2: Convert to fraction form
    664.91/916.69 = 571.25/x
  3. Step 3: Cross multiply
    664.91x = 916.69 × 571.25
  4. Step 4: Simplify right side
    664.91x = 523,659.16
  5. Step 5: Solve for x
    x = 523,659.16/664.91
  6. Step 6: Final answer
    x = 787.56

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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.