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Finding the Fourth Proportional to 784.30, 1,082.28 and 448.24

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Solution

The fourth proportional to 784.30, 1,082.28 and 448.24 is: 618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.30 : 1,082.28 = 448.24 : x
  2. Step 2: Convert to fraction form
    784.30/1,082.28 = 448.24/x
  3. Step 3: Cross multiply
    784.30x = 1,082.28 × 448.24
  4. Step 4: Simplify right side
    784.30x = 485,121.19
  5. Step 5: Solve for x
    x = 485,121.19/784.30
  6. Step 6: Final answer
    x = 618.54

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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.