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Finding the Fourth Proportional to 745.18, 1,112.75 and 608.49

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Solution

The fourth proportional to 745.18, 1,112.75 and 608.49 is: 908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.18 : 1,112.75 = 608.49 : x
  2. Step 2: Convert to fraction form
    745.18/1,112.75 = 608.49/x
  3. Step 3: Cross multiply
    745.18x = 1,112.75 × 608.49
  4. Step 4: Simplify right side
    745.18x = 677,097.25
  5. Step 5: Solve for x
    x = 677,097.25/745.18
  6. Step 6: Final answer
    x = 908.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.