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Finding the Fourth Proportional to 664.48, 917.23 and 570.85

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Solution

The fourth proportional to 664.48, 917.23 and 570.85 is: 787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.48 : 917.23 = 570.85 : x
  2. Step 2: Convert to fraction form
    664.48/917.23 = 570.85/x
  3. Step 3: Cross multiply
    664.48x = 917.23 × 570.85
  4. Step 4: Simplify right side
    664.48x = 523,600.75
  5. Step 5: Solve for x
    x = 523,600.75/664.48
  6. Step 6: Final answer
    x = 787.99

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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.