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Finding the Fourth Proportional to 432.28, 651.67 and 397.72

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Solution

The fourth proportional to 432.28, 651.67 and 397.72 is: 599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.28 : 651.67 = 397.72 : x
  2. Step 2: Convert to fraction form
    432.28/651.67 = 397.72/x
  3. Step 3: Cross multiply
    432.28x = 651.67 × 397.72
  4. Step 4: Simplify right side
    432.28x = 259,182.19
  5. Step 5: Solve for x
    x = 259,182.19/432.28
  6. Step 6: Final answer
    x = 599.57

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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.