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Finding the Fourth Proportional to 1,229.51, 1,846.08 and 500.51

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Solution

The fourth proportional to 1,229.51, 1,846.08 and 500.51 is: 751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.51 : 1,846.08 = 500.51 : x
  2. Step 2: Convert to fraction form
    1,229.51/1,846.08 = 500.51/x
  3. Step 3: Cross multiply
    1,229.51x = 1,846.08 × 500.51
  4. Step 4: Simplify right side
    1,229.51x = 923,972.27
  5. Step 5: Solve for x
    x = 923,972.27/1,229.51
  6. Step 6: Final answer
    x = 751.50

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1.5x scale

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.