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Finding the Fourth Proportional to 830.69, 1,246.02 and 283.25

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Solution

The fourth proportional to 830.69, 1,246.02 and 283.25 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.69 : 1,246.02 = 283.25 : x
  2. Step 2: Convert to fraction form
    830.69/1,246.02 = 283.25/x
  3. Step 3: Cross multiply
    830.69x = 1,246.02 × 283.25
  4. Step 4: Simplify right side
    830.69x = 352,932.55
  5. Step 5: Solve for x
    x = 352,932.55/830.69
  6. Step 6: Final answer
    x = 424.87

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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.