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Finding the Fourth Proportional to 746.36, 1,119.92 and 564.87

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Solution

The fourth proportional to 746.36, 1,119.92 and 564.87 is: 847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.36 : 1,119.92 = 564.87 : x
  2. Step 2: Convert to fraction form
    746.36/1,119.92 = 564.87/x
  3. Step 3: Cross multiply
    746.36x = 1,119.92 × 564.87
  4. Step 4: Simplify right side
    746.36x = 632,610.59
  5. Step 5: Solve for x
    x = 632,610.59/746.36
  6. Step 6: Final answer
    x = 847.60

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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.