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Finding the Fourth Proportional to 664.92, 1,001.79 and 602.46

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Solution

The fourth proportional to 664.92, 1,001.79 and 602.46 is: 907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.92 : 1,001.79 = 602.46 : x
  2. Step 2: Convert to fraction form
    664.92/1,001.79 = 602.46/x
  3. Step 3: Cross multiply
    664.92x = 1,001.79 × 602.46
  4. Step 4: Simplify right side
    664.92x = 603,538.40
  5. Step 5: Solve for x
    x = 603,538.40/664.92
  6. Step 6: Final answer
    x = 907.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.