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Finding the Fourth Proportional to 802.06, 1,205.84 and 741.94

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Solution

The fourth proportional to 802.06, 1,205.84 and 741.94 is: 1,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.06 : 1,205.84 = 741.94 : x
  2. Step 2: Convert to fraction form
    802.06/1,205.84 = 741.94/x
  3. Step 3: Cross multiply
    802.06x = 1,205.84 × 741.94
  4. Step 4: Simplify right side
    802.06x = 894,657.22
  5. Step 5: Solve for x
    x = 894,657.22/802.06
  6. Step 6: Final answer
    x = 1,115.45

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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.