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Finding the Fourth Proportional to 751.83, 1,128.17 and 318.97

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Solution

The fourth proportional to 751.83, 1,128.17 and 318.97 is: 478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.83 : 1,128.17 = 318.97 : x
  2. Step 2: Convert to fraction form
    751.83/1,128.17 = 318.97/x
  3. Step 3: Cross multiply
    751.83x = 1,128.17 × 318.97
  4. Step 4: Simplify right side
    751.83x = 359,852.38
  5. Step 5: Solve for x
    x = 359,852.38/751.83
  6. Step 6: Final answer
    x = 478.64

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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.