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Finding the Fourth Proportional to 830.89, 1,246.47 and 398.05

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Solution

The fourth proportional to 830.89, 1,246.47 and 398.05 is: 597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.89 : 1,246.47 = 398.05 : x
  2. Step 2: Convert to fraction form
    830.89/1,246.47 = 398.05/x
  3. Step 3: Cross multiply
    830.89x = 1,246.47 × 398.05
  4. Step 4: Simplify right side
    830.89x = 496,155.01
  5. Step 5: Solve for x
    x = 496,155.01/830.89
  6. Step 6: Final answer
    x = 597.14

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Double scale
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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.