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Finding the Fourth Proportional to 931.62, 1,283.73 and 765.30

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Solution

The fourth proportional to 931.62, 1,283.73 and 765.30 is: 1,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.62 : 1,283.73 = 765.30 : x
  2. Step 2: Convert to fraction form
    931.62/1,283.73 = 765.30/x
  3. Step 3: Cross multiply
    931.62x = 1,283.73 × 765.30
  4. Step 4: Simplify right side
    931.62x = 982,438.57
  5. Step 5: Solve for x
    x = 982,438.57/931.62
  6. Step 6: Final answer
    x = 1,054.55

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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.