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Finding the Fourth Proportional to 1,042.17, 1,438.79 and 693.33

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Solution

The fourth proportional to 1,042.17, 1,438.79 and 693.33 is: 957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.17 : 1,438.79 = 693.33 : x
  2. Step 2: Convert to fraction form
    1,042.17/1,438.79 = 693.33/x
  3. Step 3: Cross multiply
    1,042.17x = 1,438.79 × 693.33
  4. Step 4: Simplify right side
    1,042.17x = 997,552.80
  5. Step 5: Solve for x
    x = 997,552.80/1,042.17
  6. Step 6: Final answer
    x = 957.19

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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.