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Finding the Fourth Proportional to 1,436.01, 2,153.75 and 511.57

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Solution

The fourth proportional to 1,436.01, 2,153.75 and 511.57 is: 767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.01 : 2,153.75 = 511.57 : x
  2. Step 2: Convert to fraction form
    1,436.01/2,153.75 = 511.57/x
  3. Step 3: Cross multiply
    1,436.01x = 2,153.75 × 511.57
  4. Step 4: Simplify right side
    1,436.01x = 1,101,785.95
  5. Step 5: Solve for x
    x = 1,101,785.95/1,436.01
  6. Step 6: Final answer
    x = 767.25

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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.