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Finding the Fourth Proportional to 745.41, 1,028.66 and 483.88

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Solution

The fourth proportional to 745.41, 1,028.66 and 483.88 is: 667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.41 : 1,028.66 = 483.88 : x
  2. Step 2: Convert to fraction form
    745.41/1,028.66 = 483.88/x
  3. Step 3: Cross multiply
    745.41x = 1,028.66 × 483.88
  4. Step 4: Simplify right side
    745.41x = 497,748.00
  5. Step 5: Solve for x
    x = 497,748.00/745.41
  6. Step 6: Final answer
    x = 667.75

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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.