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Finding the Fourth Proportional to 458.72, 684.71 and 404.04

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Solution

The fourth proportional to 458.72, 684.71 and 404.04 is: 603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.72 : 684.71 = 404.04 : x
  2. Step 2: Convert to fraction form
    458.72/684.71 = 404.04/x
  3. Step 3: Cross multiply
    458.72x = 684.71 × 404.04
  4. Step 4: Simplify right side
    458.72x = 276,650.23
  5. Step 5: Solve for x
    x = 276,650.23/458.72
  6. Step 6: Final answer
    x = 603.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.