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Finding the Fourth Proportional to 664.63, 1,001.93 and 620.03

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Solution

The fourth proportional to 664.63, 1,001.93 and 620.03 is: 934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.63 : 1,001.93 = 620.03 : x
  2. Step 2: Convert to fraction form
    664.63/1,001.93 = 620.03/x
  3. Step 3: Cross multiply
    664.63x = 1,001.93 × 620.03
  4. Step 4: Simplify right side
    664.63x = 621,226.06
  5. Step 5: Solve for x
    x = 621,226.06/664.63
  6. Step 6: Final answer
    x = 934.69

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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.