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Finding the Fourth Proportional to 668.93, 1,009.29 and 645.92

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Solution

The fourth proportional to 668.93, 1,009.29 and 645.92 is: 974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.93 : 1,009.29 = 645.92 : x
  2. Step 2: Convert to fraction form
    668.93/1,009.29 = 645.92/x
  3. Step 3: Cross multiply
    668.93x = 1,009.29 × 645.92
  4. Step 4: Simplify right side
    668.93x = 651,921.98
  5. Step 5: Solve for x
    x = 651,921.98/668.93
  6. Step 6: Final answer
    x = 974.57

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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.