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Finding the Fourth Proportional to 784.46, 1,082.09 and 522.83

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Solution

The fourth proportional to 784.46, 1,082.09 and 522.83 is: 721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.46 : 1,082.09 = 522.83 : x
  2. Step 2: Convert to fraction form
    784.46/1,082.09 = 522.83/x
  3. Step 3: Cross multiply
    784.46x = 1,082.09 × 522.83
  4. Step 4: Simplify right side
    784.46x = 565,746.50
  5. Step 5: Solve for x
    x = 565,746.50/784.46
  6. Step 6: Final answer
    x = 721.19

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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.