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Finding the Fourth Proportional to 826.14, 1,138.58 and 802.45

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Solution

The fourth proportional to 826.14, 1,138.58 and 802.45 is: 1,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,138.58 = 802.45 : x
  2. Step 2: Convert to fraction form
    826.14/1,138.58 = 802.45/x
  3. Step 3: Cross multiply
    826.14x = 1,138.58 × 802.45
  4. Step 4: Simplify right side
    826.14x = 913,646.66
  5. Step 5: Solve for x
    x = 913,646.66/826.14
  6. Step 6: Final answer
    x = 1,105.92

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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.