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Finding the Fourth Proportional to 1,229.98, 1,843.93 and 500.07

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Solution

The fourth proportional to 1,229.98, 1,843.93 and 500.07 is: 749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.98 : 1,843.93 = 500.07 : x
  2. Step 2: Convert to fraction form
    1,229.98/1,843.93 = 500.07/x
  3. Step 3: Cross multiply
    1,229.98x = 1,843.93 × 500.07
  4. Step 4: Simplify right side
    1,229.98x = 922,094.08
  5. Step 5: Solve for x
    x = 922,094.08/1,229.98
  6. Step 6: Final answer
    x = 749.68

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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.