Home / 1,042.47-1,556.10-966.33

Finding the Fourth Proportional to 1,042.47, 1,556.10 and 966.33

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Solution

The fourth proportional to 1,042.47, 1,556.10 and 966.33 is: 1,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.47 : 1,556.10 = 966.33 : x
  2. Step 2: Convert to fraction form
    1,042.47/1,556.10 = 966.33/x
  3. Step 3: Cross multiply
    1,042.47x = 1,556.10 × 966.33
  4. Step 4: Simplify right side
    1,042.47x = 1,503,706.11
  5. Step 5: Solve for x
    x = 1,503,706.11/1,042.47
  6. Step 6: Final answer
    x = 1,442.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.