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Finding the Fourth Proportional to 1,246.07, 1,868.93 and 515.54

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Solution

The fourth proportional to 1,246.07, 1,868.93 and 515.54 is: 773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.07 : 1,868.93 = 515.54 : x
  2. Step 2: Convert to fraction form
    1,246.07/1,868.93 = 515.54/x
  3. Step 3: Cross multiply
    1,246.07x = 1,868.93 × 515.54
  4. Step 4: Simplify right side
    1,246.07x = 963,496.25
  5. Step 5: Solve for x
    x = 963,496.25/1,246.07
  6. Step 6: Final answer
    x = 773.23

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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.