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Finding the Fourth Proportional to 432.16, 650.81 and 389.33

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Solution

The fourth proportional to 432.16, 650.81 and 389.33 is: 586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 650.81 = 389.33 : x
  2. Step 2: Convert to fraction form
    432.16/650.81 = 389.33/x
  3. Step 3: Cross multiply
    432.16x = 650.81 × 389.33
  4. Step 4: Simplify right side
    432.16x = 253,379.86
  5. Step 5: Solve for x
    x = 253,379.86/432.16
  6. Step 6: Final answer
    x = 586.31

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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.