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Finding the Fourth Proportional to 746.25, 1,112.15 and 707.37

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Solution

The fourth proportional to 746.25, 1,112.15 and 707.37 is: 1,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.25 : 1,112.15 = 707.37 : x
  2. Step 2: Convert to fraction form
    746.25/1,112.15 = 707.37/x
  3. Step 3: Cross multiply
    746.25x = 1,112.15 × 707.37
  4. Step 4: Simplify right side
    746.25x = 786,698.01
  5. Step 5: Solve for x
    x = 786,698.01/746.25
  6. Step 6: Final answer
    x = 1,054.20

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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.