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Finding the Fourth Proportional to 746.10, 1,124.55 and 713.16

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Solution

The fourth proportional to 746.10, 1,124.55 and 713.16 is: 1,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.10 : 1,124.55 = 713.16 : x
  2. Step 2: Convert to fraction form
    746.10/1,124.55 = 713.16/x
  3. Step 3: Cross multiply
    746.10x = 1,124.55 × 713.16
  4. Step 4: Simplify right side
    746.10x = 801,984.08
  5. Step 5: Solve for x
    x = 801,984.08/746.10
  6. Step 6: Final answer
    x = 1,074.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.