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Finding the Fourth Proportional to 628.20, 940.86 and 497.52

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Solution

The fourth proportional to 628.20, 940.86 and 497.52 is: 745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.20 : 940.86 = 497.52 : x
  2. Step 2: Convert to fraction form
    628.20/940.86 = 497.52/x
  3. Step 3: Cross multiply
    628.20x = 940.86 × 497.52
  4. Step 4: Simplify right side
    628.20x = 468,096.67
  5. Step 5: Solve for x
    x = 468,096.67/628.20
  6. Step 6: Final answer
    x = 745.14

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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.