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Finding the Fourth Proportional to 736.91, 1,017.25 and 442.13

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Solution

The fourth proportional to 736.91, 1,017.25 and 442.13 is: 610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.91 : 1,017.25 = 442.13 : x
  2. Step 2: Convert to fraction form
    736.91/1,017.25 = 442.13/x
  3. Step 3: Cross multiply
    736.91x = 1,017.25 × 442.13
  4. Step 4: Simplify right side
    736.91x = 449,749.93
  5. Step 5: Solve for x
    x = 449,749.93/736.91
  6. Step 6: Final answer
    x = 610.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.