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Finding the Fourth Proportional to 746.12, 1,026.87 and 653.11

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Solution

The fourth proportional to 746.12, 1,026.87 and 653.11 is: 898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.12 : 1,026.87 = 653.11 : x
  2. Step 2: Convert to fraction form
    746.12/1,026.87 = 653.11/x
  3. Step 3: Cross multiply
    746.12x = 1,026.87 × 653.11
  4. Step 4: Simplify right side
    746.12x = 670,659.07
  5. Step 5: Solve for x
    x = 670,659.07/746.12
  6. Step 6: Final answer
    x = 898.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.