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Finding the Fourth Proportional to 784.85, 1,082.85 and 448.76

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Solution

The fourth proportional to 784.85, 1,082.85 and 448.76 is: 619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.85 : 1,082.85 = 448.76 : x
  2. Step 2: Convert to fraction form
    784.85/1,082.85 = 448.76/x
  3. Step 3: Cross multiply
    784.85x = 1,082.85 × 448.76
  4. Step 4: Simplify right side
    784.85x = 485,934.35
  5. Step 5: Solve for x
    x = 485,934.35/784.85
  6. Step 6: Final answer
    x = 619.15

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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.