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Finding the Fourth Proportional to 802.41, 1,105.60 and 539.97

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Solution

The fourth proportional to 802.41, 1,105.60 and 539.97 is: 744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.41 : 1,105.60 = 539.97 : x
  2. Step 2: Convert to fraction form
    802.41/1,105.60 = 539.97/x
  3. Step 3: Cross multiply
    802.41x = 1,105.60 × 539.97
  4. Step 4: Simplify right side
    802.41x = 596,990.83
  5. Step 5: Solve for x
    x = 596,990.83/802.41
  6. Step 6: Final answer
    x = 744.00

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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.