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Finding the Fourth Proportional to 750.09, 1,125.62 and 365.13

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Solution

The fourth proportional to 750.09, 1,125.62 and 365.13 is: 547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.09 : 1,125.62 = 365.13 : x
  2. Step 2: Convert to fraction form
    750.09/1,125.62 = 365.13/x
  3. Step 3: Cross multiply
    750.09x = 1,125.62 × 365.13
  4. Step 4: Simplify right side
    750.09x = 410,997.63
  5. Step 5: Solve for x
    x = 410,997.63/750.09
  6. Step 6: Final answer
    x = 547.93

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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.