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Finding the Fourth Proportional to 430.38, 649.08 and 415.80

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Solution

The fourth proportional to 430.38, 649.08 and 415.80 is: 627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 649.08 = 415.80 : x
  2. Step 2: Convert to fraction form
    430.38/649.08 = 415.80/x
  3. Step 3: Cross multiply
    430.38x = 649.08 × 415.80
  4. Step 4: Simplify right side
    430.38x = 269,887.46
  5. Step 5: Solve for x
    x = 269,887.46/430.38
  6. Step 6: Final answer
    x = 627.09

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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.