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Finding the Fourth Proportional to 746.40, 1,132.80 and 746.40

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Solution

The fourth proportional to 746.40, 1,132.80 and 746.40 is: 1,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.40 : 1,132.80 = 746.40 : x
  2. Step 2: Convert to fraction form
    746.40/1,132.80 = 746.40/x
  3. Step 3: Cross multiply
    746.40x = 1,132.80 × 746.40
  4. Step 4: Simplify right side
    746.40x = 845,521.92
  5. Step 5: Solve for x
    x = 845,521.92/746.40
  6. Step 6: Final answer
    x = 1,132.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.