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Finding the Fourth Proportional to 696.75, 1,045.29 and 404.17

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Solution

The fourth proportional to 696.75, 1,045.29 and 404.17 is: 606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.75 : 1,045.29 = 404.17 : x
  2. Step 2: Convert to fraction form
    696.75/1,045.29 = 404.17/x
  3. Step 3: Cross multiply
    696.75x = 1,045.29 × 404.17
  4. Step 4: Simplify right side
    696.75x = 422,477.37
  5. Step 5: Solve for x
    x = 422,477.37/696.75
  6. Step 6: Final answer
    x = 606.35

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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.