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Finding the Fourth Proportional to 750.94, 1,036.20 and 435.94

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Solution

The fourth proportional to 750.94, 1,036.20 and 435.94 is: 601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.94 : 1,036.20 = 435.94 : x
  2. Step 2: Convert to fraction form
    750.94/1,036.20 = 435.94/x
  3. Step 3: Cross multiply
    750.94x = 1,036.20 × 435.94
  4. Step 4: Simplify right side
    750.94x = 451,721.03
  5. Step 5: Solve for x
    x = 451,721.03/750.94
  6. Step 6: Final answer
    x = 601.54

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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.