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Finding the Fourth Proportional to 784.76, 1,082.86 and 448.61

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Solution

The fourth proportional to 784.76, 1,082.86 and 448.61 is: 619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.76 : 1,082.86 = 448.61 : x
  2. Step 2: Convert to fraction form
    784.76/1,082.86 = 448.61/x
  3. Step 3: Cross multiply
    784.76x = 1,082.86 × 448.61
  4. Step 4: Simplify right side
    784.76x = 485,781.82
  5. Step 5: Solve for x
    x = 485,781.82/784.76
  6. Step 6: Final answer
    x = 619.02

Related Problems

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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.