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Finding the Fourth Proportional to 521.73, 782.87 and 440.19

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Solution

The fourth proportional to 521.73, 782.87 and 440.19 is: 660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.73 : 782.87 = 440.19 : x
  2. Step 2: Convert to fraction form
    521.73/782.87 = 440.19/x
  3. Step 3: Cross multiply
    521.73x = 782.87 × 440.19
  4. Step 4: Simplify right side
    521.73x = 344,609.34
  5. Step 5: Solve for x
    x = 344,609.34/521.73
  6. Step 6: Final answer
    x = 660.51

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Half scale
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Double scale
Find fourth proportional to 522.73, 784.37 and 441.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.