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Finding the Fourth Proportional to 1,200.51, 1,800.77 and 334.82

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Solution

The fourth proportional to 1,200.51, 1,800.77 and 334.82 is: 502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.51 : 1,800.77 = 334.82 : x
  2. Step 2: Convert to fraction form
    1,200.51/1,800.77 = 334.82/x
  3. Step 3: Cross multiply
    1,200.51x = 1,800.77 × 334.82
  4. Step 4: Simplify right side
    1,200.51x = 602,933.81
  5. Step 5: Solve for x
    x = 602,933.81/1,200.51
  6. Step 6: Final answer
    x = 502.23

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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.