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Finding the Fourth Proportional to 830.45, 1,244.57 and 440.39

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Solution

The fourth proportional to 830.45, 1,244.57 and 440.39 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.45 : 1,244.57 = 440.39 : x
  2. Step 2: Convert to fraction form
    830.45/1,244.57 = 440.39/x
  3. Step 3: Cross multiply
    830.45x = 1,244.57 × 440.39
  4. Step 4: Simplify right side
    830.45x = 548,087.76
  5. Step 5: Solve for x
    x = 548,087.76/830.45
  6. Step 6: Final answer
    x = 659.99

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Half scale
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Double scale
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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.