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Finding the Fourth Proportional to 1,200.07, 1,800.35 and 506.74

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Solution

The fourth proportional to 1,200.07, 1,800.35 and 506.74 is: 760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.07 : 1,800.35 = 506.74 : x
  2. Step 2: Convert to fraction form
    1,200.07/1,800.35 = 506.74/x
  3. Step 3: Cross multiply
    1,200.07x = 1,800.35 × 506.74
  4. Step 4: Simplify right side
    1,200.07x = 912,309.36
  5. Step 5: Solve for x
    x = 912,309.36/1,200.07
  6. Step 6: Final answer
    x = 760.21

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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.