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Finding the Fourth Proportional to 688.93, 1,033.58 and 415.09

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Solution

The fourth proportional to 688.93, 1,033.58 and 415.09 is: 622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.93 : 1,033.58 = 415.09 : x
  2. Step 2: Convert to fraction form
    688.93/1,033.58 = 415.09/x
  3. Step 3: Cross multiply
    688.93x = 1,033.58 × 415.09
  4. Step 4: Simplify right side
    688.93x = 429,026.65
  5. Step 5: Solve for x
    x = 429,026.65/688.93
  6. Step 6: Final answer
    x = 622.74

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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.