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Finding the Fourth Proportional to 1,200.51, 1,800.76 and 469.57

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Solution

The fourth proportional to 1,200.51, 1,800.76 and 469.57 is: 704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.51 : 1,800.76 = 469.57 : x
  2. Step 2: Convert to fraction form
    1,200.51/1,800.76 = 469.57/x
  3. Step 3: Cross multiply
    1,200.51x = 1,800.76 × 469.57
  4. Step 4: Simplify right side
    1,200.51x = 845,581.70
  5. Step 5: Solve for x
    x = 845,581.70/1,200.51
  6. Step 6: Final answer
    x = 704.35

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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.