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Finding the Fourth Proportional to 742.24, 1,111.93 and 416.62

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Solution

The fourth proportional to 742.24, 1,111.93 and 416.62 is: 624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.24 : 1,111.93 = 416.62 : x
  2. Step 2: Convert to fraction form
    742.24/1,111.93 = 416.62/x
  3. Step 3: Cross multiply
    742.24x = 1,111.93 × 416.62
  4. Step 4: Simplify right side
    742.24x = 463,248.46
  5. Step 5: Solve for x
    x = 463,248.46/742.24
  6. Step 6: Final answer
    x = 624.12

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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.