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Finding the Fourth Proportional to 1,637.34, 2,455.91 and 404.74

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Solution

The fourth proportional to 1,637.34, 2,455.91 and 404.74 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.34 : 2,455.91 = 404.74 : x
  2. Step 2: Convert to fraction form
    1,637.34/2,455.91 = 404.74/x
  3. Step 3: Cross multiply
    1,637.34x = 2,455.91 × 404.74
  4. Step 4: Simplify right side
    1,637.34x = 994,005.01
  5. Step 5: Solve for x
    x = 994,005.01/1,637.34
  6. Step 6: Final answer
    x = 607.09

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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.