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Finding the Fourth Proportional to 699.22, 964.97 and 404.59

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Solution

The fourth proportional to 699.22, 964.97 and 404.59 is: 558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.22 : 964.97 = 404.59 : x
  2. Step 2: Convert to fraction form
    699.22/964.97 = 404.59/x
  3. Step 3: Cross multiply
    699.22x = 964.97 × 404.59
  4. Step 4: Simplify right side
    699.22x = 390,417.21
  5. Step 5: Solve for x
    x = 390,417.21/699.22
  6. Step 6: Final answer
    x = 558.36

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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.