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Finding the Fourth Proportional to 751.12, 1,036.47 and 419.49

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Solution

The fourth proportional to 751.12, 1,036.47 and 419.49 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.12 : 1,036.47 = 419.49 : x
  2. Step 2: Convert to fraction form
    751.12/1,036.47 = 419.49/x
  3. Step 3: Cross multiply
    751.12x = 1,036.47 × 419.49
  4. Step 4: Simplify right side
    751.12x = 434,788.80
  5. Step 5: Solve for x
    x = 434,788.80/751.12
  6. Step 6: Final answer
    x = 578.85

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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.