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Finding the Fourth Proportional to 432.58, 649.65 and 415.18

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Solution

The fourth proportional to 432.58, 649.65 and 415.18 is: 623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.58 : 649.65 = 415.18 : x
  2. Step 2: Convert to fraction form
    432.58/649.65 = 415.18/x
  3. Step 3: Cross multiply
    432.58x = 649.65 × 415.18
  4. Step 4: Simplify right side
    432.58x = 269,721.69
  5. Step 5: Solve for x
    x = 269,721.69/432.58
  6. Step 6: Final answer
    x = 623.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.