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Finding the Fourth Proportional to 696.46, 1,044.48 and 403.60

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Solution

The fourth proportional to 696.46, 1,044.48 and 403.60 is: 605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.46 : 1,044.48 = 403.60 : x
  2. Step 2: Convert to fraction form
    696.46/1,044.48 = 403.60/x
  3. Step 3: Cross multiply
    696.46x = 1,044.48 × 403.60
  4. Step 4: Simplify right side
    696.46x = 421,552.13
  5. Step 5: Solve for x
    x = 421,552.13/696.46
  6. Step 6: Final answer
    x = 605.28

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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.