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Finding the Fourth Proportional to 746.49, 1,120.86 and 608.07

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Solution

The fourth proportional to 746.49, 1,120.86 and 608.07 is: 913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.49 : 1,120.86 = 608.07 : x
  2. Step 2: Convert to fraction form
    746.49/1,120.86 = 608.07/x
  3. Step 3: Cross multiply
    746.49x = 1,120.86 × 608.07
  4. Step 4: Simplify right side
    746.49x = 681,561.34
  5. Step 5: Solve for x
    x = 681,561.34/746.49
  6. Step 6: Final answer
    x = 913.02

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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.