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Finding the Fourth Proportional to 740.92, 1,110.48 and 416.20

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Solution

The fourth proportional to 740.92, 1,110.48 and 416.20 is: 623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.92 : 1,110.48 = 416.20 : x
  2. Step 2: Convert to fraction form
    740.92/1,110.48 = 416.20/x
  3. Step 3: Cross multiply
    740.92x = 1,110.48 × 416.20
  4. Step 4: Simplify right side
    740.92x = 462,181.78
  5. Step 5: Solve for x
    x = 462,181.78/740.92
  6. Step 6: Final answer
    x = 623.79

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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.