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Finding the Fourth Proportional to 830.61, 1,146.19 and 481.30

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Solution

The fourth proportional to 830.61, 1,146.19 and 481.30 is: 664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.61 : 1,146.19 = 481.30 : x
  2. Step 2: Convert to fraction form
    830.61/1,146.19 = 481.30/x
  3. Step 3: Cross multiply
    830.61x = 1,146.19 × 481.30
  4. Step 4: Simplify right side
    830.61x = 551,661.25
  5. Step 5: Solve for x
    x = 551,661.25/830.61
  6. Step 6: Final answer
    x = 664.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.