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Finding the Fourth Proportional to 784.09, 1,082.01 and 434.77

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Solution

The fourth proportional to 784.09, 1,082.01 and 434.77 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.09 : 1,082.01 = 434.77 : x
  2. Step 2: Convert to fraction form
    784.09/1,082.01 = 434.77/x
  3. Step 3: Cross multiply
    784.09x = 1,082.01 × 434.77
  4. Step 4: Simplify right side
    784.09x = 470,425.49
  5. Step 5: Solve for x
    x = 470,425.49/784.09
  6. Step 6: Final answer
    x = 599.96

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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.