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Finding the Fourth Proportional to 741.37, 1,112.32 and 604.75

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Solution

The fourth proportional to 741.37, 1,112.32 and 604.75 is: 907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.37 : 1,112.32 = 604.75 : x
  2. Step 2: Convert to fraction form
    741.37/1,112.32 = 604.75/x
  3. Step 3: Cross multiply
    741.37x = 1,112.32 × 604.75
  4. Step 4: Simplify right side
    741.37x = 672,675.52
  5. Step 5: Solve for x
    x = 672,675.52/741.37
  6. Step 6: Final answer
    x = 907.34

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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.