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Finding the Fourth Proportional to 1,436.47, 2,153.62 and 462.31

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Solution

The fourth proportional to 1,436.47, 2,153.62 and 462.31 is: 693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.47 : 2,153.62 = 462.31 : x
  2. Step 2: Convert to fraction form
    1,436.47/2,153.62 = 462.31/x
  3. Step 3: Cross multiply
    1,436.47x = 2,153.62 × 462.31
  4. Step 4: Simplify right side
    1,436.47x = 995,640.06
  5. Step 5: Solve for x
    x = 995,640.06/1,436.47
  6. Step 6: Final answer
    x = 693.12

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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.