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Finding the Fourth Proportional to 751.29, 1,036.78 and 419.71

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Solution

The fourth proportional to 751.29, 1,036.78 and 419.71 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.29 : 1,036.78 = 419.71 : x
  2. Step 2: Convert to fraction form
    751.29/1,036.78 = 419.71/x
  3. Step 3: Cross multiply
    751.29x = 1,036.78 × 419.71
  4. Step 4: Simplify right side
    751.29x = 435,146.93
  5. Step 5: Solve for x
    x = 435,146.93/751.29
  6. Step 6: Final answer
    x = 579.20

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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.