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Finding the Fourth Proportional to 696.39, 1,042.93 and 403.28

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Solution

The fourth proportional to 696.39, 1,042.93 and 403.28 is: 603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.39 : 1,042.93 = 403.28 : x
  2. Step 2: Convert to fraction form
    696.39/1,042.93 = 403.28/x
  3. Step 3: Cross multiply
    696.39x = 1,042.93 × 403.28
  4. Step 4: Simplify right side
    696.39x = 420,587.94
  5. Step 5: Solve for x
    x = 420,587.94/696.39
  6. Step 6: Final answer
    x = 603.95

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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.