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Finding the Fourth Proportional to 931.02, 1,282.82 and 668.58

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Solution

The fourth proportional to 931.02, 1,282.82 and 668.58 is: 921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.02 : 1,282.82 = 668.58 : x
  2. Step 2: Convert to fraction form
    931.02/1,282.82 = 668.58/x
  3. Step 3: Cross multiply
    931.02x = 1,282.82 × 668.58
  4. Step 4: Simplify right side
    931.02x = 857,667.80
  5. Step 5: Solve for x
    x = 857,667.80/931.02
  6. Step 6: Final answer
    x = 921.21

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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.