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Finding the Fourth Proportional to 432.54, 647.26 and 403.58

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Solution

The fourth proportional to 432.54, 647.26 and 403.58 is: 603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 647.26 = 403.58 : x
  2. Step 2: Convert to fraction form
    432.54/647.26 = 403.58/x
  3. Step 3: Cross multiply
    432.54x = 647.26 × 403.58
  4. Step 4: Simplify right side
    432.54x = 261,215.94
  5. Step 5: Solve for x
    x = 261,215.94/432.54
  6. Step 6: Final answer
    x = 603.91

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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.