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Finding the Fourth Proportional to 830.72, 1,246.19 and 282.75

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Solution

The fourth proportional to 830.72, 1,246.19 and 282.75 is: 424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.72 : 1,246.19 = 282.75 : x
  2. Step 2: Convert to fraction form
    830.72/1,246.19 = 282.75/x
  3. Step 3: Cross multiply
    830.72x = 1,246.19 × 282.75
  4. Step 4: Simplify right side
    830.72x = 352,360.22
  5. Step 5: Solve for x
    x = 352,360.22/830.72
  6. Step 6: Final answer
    x = 424.16

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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.