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Finding the Fourth Proportional to 432.45, 646.40 and 335.25

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Solution

The fourth proportional to 432.45, 646.40 and 335.25 is: 501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.45 : 646.40 = 335.25 : x
  2. Step 2: Convert to fraction form
    432.45/646.40 = 335.25/x
  3. Step 3: Cross multiply
    432.45x = 646.40 × 335.25
  4. Step 4: Simplify right side
    432.45x = 216,706.44
  5. Step 5: Solve for x
    x = 216,706.44/432.45
  6. Step 6: Final answer
    x = 501.11

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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.