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Finding the Fourth Proportional to 784.45, 1,082.49 and 430.35

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Solution

The fourth proportional to 784.45, 1,082.49 and 430.35 is: 593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.45 : 1,082.49 = 430.35 : x
  2. Step 2: Convert to fraction form
    784.45/1,082.49 = 430.35/x
  3. Step 3: Cross multiply
    784.45x = 1,082.49 × 430.35
  4. Step 4: Simplify right side
    784.45x = 465,849.68
  5. Step 5: Solve for x
    x = 465,849.68/784.45
  6. Step 6: Final answer
    x = 593.86

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1.5x scale

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.