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Finding the Fourth Proportional to 811.60, 1,120.10 and 480.13

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Solution

The fourth proportional to 811.60, 1,120.10 and 480.13 is: 662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.60 : 1,120.10 = 480.13 : x
  2. Step 2: Convert to fraction form
    811.60/1,120.10 = 480.13/x
  3. Step 3: Cross multiply
    811.60x = 1,120.10 × 480.13
  4. Step 4: Simplify right side
    811.60x = 537,788.41
  5. Step 5: Solve for x
    x = 537,788.41/811.60
  6. Step 6: Final answer
    x = 662.63

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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.