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Finding the Fourth Proportional to 432.16, 650.80 and 389.34

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Solution

The fourth proportional to 432.16, 650.80 and 389.34 is: 586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 650.80 = 389.34 : x
  2. Step 2: Convert to fraction form
    432.16/650.80 = 389.34/x
  3. Step 3: Cross multiply
    432.16x = 650.80 × 389.34
  4. Step 4: Simplify right side
    432.16x = 253,382.47
  5. Step 5: Solve for x
    x = 253,382.47/432.16
  6. Step 6: Final answer
    x = 586.32

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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.