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Finding the Fourth Proportional to 412.32, 614.67 and 404.40

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Solution

The fourth proportional to 412.32, 614.67 and 404.40 is: 602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 614.67 = 404.40 : x
  2. Step 2: Convert to fraction form
    412.32/614.67 = 404.40/x
  3. Step 3: Cross multiply
    412.32x = 614.67 × 404.40
  4. Step 4: Simplify right side
    412.32x = 248,572.55
  5. Step 5: Solve for x
    x = 248,572.55/412.32
  6. Step 6: Final answer
    x = 602.86

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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.