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Finding the Fourth Proportional to 1,436.61, 2,154.96 and 512.23

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Solution

The fourth proportional to 1,436.61, 2,154.96 and 512.23 is: 768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.61 : 2,154.96 = 512.23 : x
  2. Step 2: Convert to fraction form
    1,436.61/2,154.96 = 512.23/x
  3. Step 3: Cross multiply
    1,436.61x = 2,154.96 × 512.23
  4. Step 4: Simplify right side
    1,436.61x = 1,103,835.16
  5. Step 5: Solve for x
    x = 1,103,835.16/1,436.61
  6. Step 6: Final answer
    x = 768.36

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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.