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Finding the Fourth Proportional to 619.30, 929.15 and 414.10

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Solution

The fourth proportional to 619.30, 929.15 and 414.10 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.30 : 929.15 = 414.10 : x
  2. Step 2: Convert to fraction form
    619.30/929.15 = 414.10/x
  3. Step 3: Cross multiply
    619.30x = 929.15 × 414.10
  4. Step 4: Simplify right side
    619.30x = 384,761.02
  5. Step 5: Solve for x
    x = 384,761.02/619.30
  6. Step 6: Final answer
    x = 621.28

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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.