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Finding the Fourth Proportional to 1,042.13, 1,438.74 and 693.42

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Solution

The fourth proportional to 1,042.13, 1,438.74 and 693.42 is: 957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.13 : 1,438.74 = 693.42 : x
  2. Step 2: Convert to fraction form
    1,042.13/1,438.74 = 693.42/x
  3. Step 3: Cross multiply
    1,042.13x = 1,438.74 × 693.42
  4. Step 4: Simplify right side
    1,042.13x = 997,651.09
  5. Step 5: Solve for x
    x = 997,651.09/1,042.13
  6. Step 6: Final answer
    x = 957.32

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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.