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Finding the Fourth Proportional to 830.97, 1,246.48 and 465.47

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Solution

The fourth proportional to 830.97, 1,246.48 and 465.47 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.97 : 1,246.48 = 465.47 : x
  2. Step 2: Convert to fraction form
    830.97/1,246.48 = 465.47/x
  3. Step 3: Cross multiply
    830.97x = 1,246.48 × 465.47
  4. Step 4: Simplify right side
    830.97x = 580,199.05
  5. Step 5: Solve for x
    x = 580,199.05/830.97
  6. Step 6: Final answer
    x = 698.22

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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.