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Finding the Fourth Proportional to 745.78, 1,028.49 and 483.50

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Solution

The fourth proportional to 745.78, 1,028.49 and 483.50 is: 666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.78 : 1,028.49 = 483.50 : x
  2. Step 2: Convert to fraction form
    745.78/1,028.49 = 483.50/x
  3. Step 3: Cross multiply
    745.78x = 1,028.49 × 483.50
  4. Step 4: Simplify right side
    745.78x = 497,274.92
  5. Step 5: Solve for x
    x = 497,274.92/745.78
  6. Step 6: Final answer
    x = 666.78

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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.