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Finding the Fourth Proportional to 945.17, 1,301.10 and 820.10

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Solution

The fourth proportional to 945.17, 1,301.10 and 820.10 is: 1,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.17 : 1,301.10 = 820.10 : x
  2. Step 2: Convert to fraction form
    945.17/1,301.10 = 820.10/x
  3. Step 3: Cross multiply
    945.17x = 1,301.10 × 820.10
  4. Step 4: Simplify right side
    945.17x = 1,067,025.60
  5. Step 5: Solve for x
    x = 1,067,025.60/945.17
  6. Step 6: Final answer
    x = 1,128.92

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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.