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Finding the Fourth Proportional to 802.15, 1,201.67 and 454.41

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Solution

The fourth proportional to 802.15, 1,201.67 and 454.41 is: 680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.15 : 1,201.67 = 454.41 : x
  2. Step 2: Convert to fraction form
    802.15/1,201.67 = 454.41/x
  3. Step 3: Cross multiply
    802.15x = 1,201.67 × 454.41
  4. Step 4: Simplify right side
    802.15x = 546,054.80
  5. Step 5: Solve for x
    x = 546,054.80/802.15
  6. Step 6: Final answer
    x = 680.74

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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.