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Finding the Fourth Proportional to 750.91, 1,036.32 and 419.41

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Solution

The fourth proportional to 750.91, 1,036.32 and 419.41 is: 578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.91 : 1,036.32 = 419.41 : x
  2. Step 2: Convert to fraction form
    750.91/1,036.32 = 419.41/x
  3. Step 3: Cross multiply
    750.91x = 1,036.32 × 419.41
  4. Step 4: Simplify right side
    750.91x = 434,642.97
  5. Step 5: Solve for x
    x = 434,642.97/750.91
  6. Step 6: Final answer
    x = 578.82

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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.