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Finding the Fourth Proportional to 784.32, 1,082.30 and 448.23

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Solution

The fourth proportional to 784.32, 1,082.30 and 448.23 is: 618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.32 : 1,082.30 = 448.23 : x
  2. Step 2: Convert to fraction form
    784.32/1,082.30 = 448.23/x
  3. Step 3: Cross multiply
    784.32x = 1,082.30 × 448.23
  4. Step 4: Simplify right side
    784.32x = 485,119.33
  5. Step 5: Solve for x
    x = 485,119.33/784.32
  6. Step 6: Final answer
    x = 618.52

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Double scale
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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.