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Finding the Fourth Proportional to 745.40, 1,028.78 and 465.81

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Solution

The fourth proportional to 745.40, 1,028.78 and 465.81 is: 642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.40 : 1,028.78 = 465.81 : x
  2. Step 2: Convert to fraction form
    745.40/1,028.78 = 465.81/x
  3. Step 3: Cross multiply
    745.40x = 1,028.78 × 465.81
  4. Step 4: Simplify right side
    745.40x = 479,217.36
  5. Step 5: Solve for x
    x = 479,217.36/745.40
  6. Step 6: Final answer
    x = 642.90

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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.