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Finding the Fourth Proportional to 784.43, 1,082.52 and 430.34

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Solution

The fourth proportional to 784.43, 1,082.52 and 430.34 is: 593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.43 : 1,082.52 = 430.34 : x
  2. Step 2: Convert to fraction form
    784.43/1,082.52 = 430.34/x
  3. Step 3: Cross multiply
    784.43x = 1,082.52 × 430.34
  4. Step 4: Simplify right side
    784.43x = 465,851.66
  5. Step 5: Solve for x
    x = 465,851.66/784.43
  6. Step 6: Final answer
    x = 593.87

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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.