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Finding the Fourth Proportional to 432.08, 651.36 and 404.24

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Solution

The fourth proportional to 432.08, 651.36 and 404.24 is: 609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.08 : 651.36 = 404.24 : x
  2. Step 2: Convert to fraction form
    432.08/651.36 = 404.24/x
  3. Step 3: Cross multiply
    432.08x = 651.36 × 404.24
  4. Step 4: Simplify right side
    432.08x = 263,305.77
  5. Step 5: Solve for x
    x = 263,305.77/432.08
  6. Step 6: Final answer
    x = 609.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.