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Finding the Fourth Proportional to 664.89, 917.61 and 370.22

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Solution

The fourth proportional to 664.89, 917.61 and 370.22 is: 510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.89 : 917.61 = 370.22 : x
  2. Step 2: Convert to fraction form
    664.89/917.61 = 370.22/x
  3. Step 3: Cross multiply
    664.89x = 917.61 × 370.22
  4. Step 4: Simplify right side
    664.89x = 339,712.99
  5. Step 5: Solve for x
    x = 339,712.99/664.89
  6. Step 6: Final answer
    x = 510.93

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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.