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Finding the Fourth Proportional to 664.78, 917.42 and 370.03

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Solution

The fourth proportional to 664.78, 917.42 and 370.03 is: 510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.78 : 917.42 = 370.03 : x
  2. Step 2: Convert to fraction form
    664.78/917.42 = 370.03/x
  3. Step 3: Cross multiply
    664.78x = 917.42 × 370.03
  4. Step 4: Simplify right side
    664.78x = 339,471.55
  5. Step 5: Solve for x
    x = 339,471.55/664.78
  6. Step 6: Final answer
    x = 510.65

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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.