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Finding the Fourth Proportional to 415.22, 619.95 and 374.90

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Solution

The fourth proportional to 415.22, 619.95 and 374.90 is: 559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 619.95 = 374.90 : x
  2. Step 2: Convert to fraction form
    415.22/619.95 = 374.90/x
  3. Step 3: Cross multiply
    415.22x = 619.95 × 374.90
  4. Step 4: Simplify right side
    415.22x = 232,417.38
  5. Step 5: Solve for x
    x = 232,417.38/415.22
  6. Step 6: Final answer
    x = 559.75

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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.