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Finding the Fourth Proportional to 412.18, 614.57 and 404.89

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Solution

The fourth proportional to 412.18, 614.57 and 404.89 is: 603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.18 : 614.57 = 404.89 : x
  2. Step 2: Convert to fraction form
    412.18/614.57 = 404.89/x
  3. Step 3: Cross multiply
    412.18x = 614.57 × 404.89
  4. Step 4: Simplify right side
    412.18x = 248,833.25
  5. Step 5: Solve for x
    x = 248,833.25/412.18
  6. Step 6: Final answer
    x = 603.70

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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.