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Finding the Fourth Proportional to 802.66, 1,103.98 and 741.15

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Solution

The fourth proportional to 802.66, 1,103.98 and 741.15 is: 1,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.66 : 1,103.98 = 741.15 : x
  2. Step 2: Convert to fraction form
    802.66/1,103.98 = 741.15/x
  3. Step 3: Cross multiply
    802.66x = 1,103.98 × 741.15
  4. Step 4: Simplify right side
    802.66x = 818,214.31
  5. Step 5: Solve for x
    x = 818,214.31/802.66
  6. Step 6: Final answer
    x = 1,019.38

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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.