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Finding the Fourth Proportional to 699.65, 965.48 and 404.92

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Solution

The fourth proportional to 699.65, 965.48 and 404.92 is: 558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.65 : 965.48 = 404.92 : x
  2. Step 2: Convert to fraction form
    699.65/965.48 = 404.92/x
  3. Step 3: Cross multiply
    699.65x = 965.48 × 404.92
  4. Step 4: Simplify right side
    699.65x = 390,942.16
  5. Step 5: Solve for x
    x = 390,942.16/699.65
  6. Step 6: Final answer
    x = 558.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.