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Finding the Fourth Proportional to 784.25, 1,082.27 and 448.12

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Solution

The fourth proportional to 784.25, 1,082.27 and 448.12 is: 618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.25 : 1,082.27 = 448.12 : x
  2. Step 2: Convert to fraction form
    784.25/1,082.27 = 448.12/x
  3. Step 3: Cross multiply
    784.25x = 1,082.27 × 448.12
  4. Step 4: Simplify right side
    784.25x = 484,985.25
  5. Step 5: Solve for x
    x = 484,985.25/784.25
  6. Step 6: Final answer
    x = 618.41

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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.