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Finding the Fourth Proportional to 741.92, 1,110.54 and 416.30

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Solution

The fourth proportional to 741.92, 1,110.54 and 416.30 is: 623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.92 : 1,110.54 = 416.30 : x
  2. Step 2: Convert to fraction form
    741.92/1,110.54 = 416.30/x
  3. Step 3: Cross multiply
    741.92x = 1,110.54 × 416.30
  4. Step 4: Simplify right side
    741.92x = 462,317.80
  5. Step 5: Solve for x
    x = 462,317.80/741.92
  6. Step 6: Final answer
    x = 623.14

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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.