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Finding the Fourth Proportional to 745.92, 1,028.45 and 479.91

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Solution

The fourth proportional to 745.92, 1,028.45 and 479.91 is: 661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.92 : 1,028.45 = 479.91 : x
  2. Step 2: Convert to fraction form
    745.92/1,028.45 = 479.91/x
  3. Step 3: Cross multiply
    745.92x = 1,028.45 × 479.91
  4. Step 4: Simplify right side
    745.92x = 493,561.04
  5. Step 5: Solve for x
    x = 493,561.04/745.92
  6. Step 6: Final answer
    x = 661.68

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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.