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Finding the Fourth Proportional to 784.17, 1,082.07 and 434.79

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Solution

The fourth proportional to 784.17, 1,082.07 and 434.79 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.17 : 1,082.07 = 434.79 : x
  2. Step 2: Convert to fraction form
    784.17/1,082.07 = 434.79/x
  3. Step 3: Cross multiply
    784.17x = 1,082.07 × 434.79
  4. Step 4: Simplify right side
    784.17x = 470,473.22
  5. Step 5: Solve for x
    x = 470,473.22/784.17
  6. Step 6: Final answer
    x = 599.96

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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.