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Finding the Fourth Proportional to 736.42, 1,015.13 and 625.54

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Solution

The fourth proportional to 736.42, 1,015.13 and 625.54 is: 862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.42 : 1,015.13 = 625.54 : x
  2. Step 2: Convert to fraction form
    736.42/1,015.13 = 625.54/x
  3. Step 3: Cross multiply
    736.42x = 1,015.13 × 625.54
  4. Step 4: Simplify right side
    736.42x = 635,004.42
  5. Step 5: Solve for x
    x = 635,004.42/736.42
  6. Step 6: Final answer
    x = 862.29

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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.