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Finding the Fourth Proportional to 979.53, 1,350.24 and 802.23

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Solution

The fourth proportional to 979.53, 1,350.24 and 802.23 is: 1,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.53 : 1,350.24 = 802.23 : x
  2. Step 2: Convert to fraction form
    979.53/1,350.24 = 802.23/x
  3. Step 3: Cross multiply
    979.53x = 1,350.24 × 802.23
  4. Step 4: Simplify right side
    979.53x = 1,083,203.04
  5. Step 5: Solve for x
    x = 1,083,203.04/979.53
  6. Step 6: Final answer
    x = 1,105.84

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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.