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Finding the Fourth Proportional to 839.17, 1,158.18 and 802.25

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Solution

The fourth proportional to 839.17, 1,158.18 and 802.25 is: 1,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.17 : 1,158.18 = 802.25 : x
  2. Step 2: Convert to fraction form
    839.17/1,158.18 = 802.25/x
  3. Step 3: Cross multiply
    839.17x = 1,158.18 × 802.25
  4. Step 4: Simplify right side
    839.17x = 929,152.80
  5. Step 5: Solve for x
    x = 929,152.80/839.17
  6. Step 6: Final answer
    x = 1,107.23

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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.