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Finding the Fourth Proportional to 933.32, 1,287.76 and 784.51

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Solution

The fourth proportional to 933.32, 1,287.76 and 784.51 is: 1,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.32 : 1,287.76 = 784.51 : x
  2. Step 2: Convert to fraction form
    933.32/1,287.76 = 784.51/x
  3. Step 3: Cross multiply
    933.32x = 1,287.76 × 784.51
  4. Step 4: Simplify right side
    933.32x = 1,010,257.38
  5. Step 5: Solve for x
    x = 1,010,257.38/933.32
  6. Step 6: Final answer
    x = 1,082.43

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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.