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Finding the Fourth Proportional to 883.32, 1,317.49 and 766.84

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Solution

The fourth proportional to 883.32, 1,317.49 and 766.84 is: 1,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.32 : 1,317.49 = 766.84 : x
  2. Step 2: Convert to fraction form
    883.32/1,317.49 = 766.84/x
  3. Step 3: Cross multiply
    883.32x = 1,317.49 × 766.84
  4. Step 4: Simplify right side
    883.32x = 1,010,304.03
  5. Step 5: Solve for x
    x = 1,010,304.03/883.32
  6. Step 6: Final answer
    x = 1,143.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.