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Finding the Fourth Proportional to 695.82, 1,045.08 and 479.82

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Solution

The fourth proportional to 695.82, 1,045.08 and 479.82 is: 720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.82 : 1,045.08 = 479.82 : x
  2. Step 2: Convert to fraction form
    695.82/1,045.08 = 479.82/x
  3. Step 3: Cross multiply
    695.82x = 1,045.08 × 479.82
  4. Step 4: Simplify right side
    695.82x = 501,450.29
  5. Step 5: Solve for x
    x = 501,450.29/695.82
  6. Step 6: Final answer
    x = 720.66

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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.