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Finding the Fourth Proportional to 432.41, 646.28 and 397.81

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Solution

The fourth proportional to 432.41, 646.28 and 397.81 is: 594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.41 : 646.28 = 397.81 : x
  2. Step 2: Convert to fraction form
    432.41/646.28 = 397.81/x
  3. Step 3: Cross multiply
    432.41x = 646.28 × 397.81
  4. Step 4: Simplify right side
    432.41x = 257,096.96
  5. Step 5: Solve for x
    x = 257,096.96/432.41
  6. Step 6: Final answer
    x = 594.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.