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Finding the Fourth Proportional to 1,033.05, 1,557.29 and 945.48

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Solution

The fourth proportional to 1,033.05, 1,557.29 and 945.48 is: 1,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.05 : 1,557.29 = 945.48 : x
  2. Step 2: Convert to fraction form
    1,033.05/1,557.29 = 945.48/x
  3. Step 3: Cross multiply
    1,033.05x = 1,557.29 × 945.48
  4. Step 4: Simplify right side
    1,033.05x = 1,472,386.55
  5. Step 5: Solve for x
    x = 1,472,386.55/1,033.05
  6. Step 6: Final answer
    x = 1,425.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.