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Finding the Fourth Proportional to 694.96, 1,042.76 and 370.25

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Solution

The fourth proportional to 694.96, 1,042.76 and 370.25 is: 555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.96 : 1,042.76 = 370.25 : x
  2. Step 2: Convert to fraction form
    694.96/1,042.76 = 370.25/x
  3. Step 3: Cross multiply
    694.96x = 1,042.76 × 370.25
  4. Step 4: Simplify right side
    694.96x = 386,081.89
  5. Step 5: Solve for x
    x = 386,081.89/694.96
  6. Step 6: Final answer
    x = 555.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.