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Finding the Fourth Proportional to 432.37, 652.40 and 415.49

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Solution

The fourth proportional to 432.37, 652.40 and 415.49 is: 626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.37 : 652.40 = 415.49 : x
  2. Step 2: Convert to fraction form
    432.37/652.40 = 415.49/x
  3. Step 3: Cross multiply
    432.37x = 652.40 × 415.49
  4. Step 4: Simplify right side
    432.37x = 271,065.68
  5. Step 5: Solve for x
    x = 271,065.68/432.37
  6. Step 6: Final answer
    x = 626.94

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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.