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Finding the Fourth Proportional to 784.57, 1,082.81 and 448.56

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Solution

The fourth proportional to 784.57, 1,082.81 and 448.56 is: 619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.57 : 1,082.81 = 448.56 : x
  2. Step 2: Convert to fraction form
    784.57/1,082.81 = 448.56/x
  3. Step 3: Cross multiply
    784.57x = 1,082.81 × 448.56
  4. Step 4: Simplify right side
    784.57x = 485,705.25
  5. Step 5: Solve for x
    x = 485,705.25/784.57
  6. Step 6: Final answer
    x = 619.07

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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.