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Finding the Fourth Proportional to 1,212.73, 1,818.93 and 432.70

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Solution

The fourth proportional to 1,212.73, 1,818.93 and 432.70 is: 648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.73 : 1,818.93 = 432.70 : x
  2. Step 2: Convert to fraction form
    1,212.73/1,818.93 = 432.70/x
  3. Step 3: Cross multiply
    1,212.73x = 1,818.93 × 432.70
  4. Step 4: Simplify right side
    1,212.73x = 787,051.01
  5. Step 5: Solve for x
    x = 787,051.01/1,212.73
  6. Step 6: Final answer
    x = 648.99

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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.