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Finding the Fourth Proportional to 607.74, 912.15 and 415.50

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Solution

The fourth proportional to 607.74, 912.15 and 415.50 is: 623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.74 : 912.15 = 415.50 : x
  2. Step 2: Convert to fraction form
    607.74/912.15 = 415.50/x
  3. Step 3: Cross multiply
    607.74x = 912.15 × 415.50
  4. Step 4: Simplify right side
    607.74x = 378,998.33
  5. Step 5: Solve for x
    x = 378,998.33/607.74
  6. Step 6: Final answer
    x = 623.62

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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.