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Finding the Fourth Proportional to 750.36, 1,127.67 and 442.36

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Solution

The fourth proportional to 750.36, 1,127.67 and 442.36 is: 664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.36 : 1,127.67 = 442.36 : x
  2. Step 2: Convert to fraction form
    750.36/1,127.67 = 442.36/x
  3. Step 3: Cross multiply
    750.36x = 1,127.67 × 442.36
  4. Step 4: Simplify right side
    750.36x = 498,838.34
  5. Step 5: Solve for x
    x = 498,838.34/750.36
  6. Step 6: Final answer
    x = 664.80

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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.