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Finding the Fourth Proportional to 432.41, 647.07 and 403.45

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Solution

The fourth proportional to 432.41, 647.07 and 403.45 is: 603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.41 : 647.07 = 403.45 : x
  2. Step 2: Convert to fraction form
    432.41/647.07 = 403.45/x
  3. Step 3: Cross multiply
    432.41x = 647.07 × 403.45
  4. Step 4: Simplify right side
    432.41x = 261,058.77
  5. Step 5: Solve for x
    x = 261,058.77/432.41
  6. Step 6: Final answer
    x = 603.73

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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.