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Finding the Fourth Proportional to 1,255.81, 1,883.93 and 515.59

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Solution

The fourth proportional to 1,255.81, 1,883.93 and 515.59 is: 773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.81 : 1,883.93 = 515.59 : x
  2. Step 2: Convert to fraction form
    1,255.81/1,883.93 = 515.59/x
  3. Step 3: Cross multiply
    1,255.81x = 1,883.93 × 515.59
  4. Step 4: Simplify right side
    1,255.81x = 971,332.89
  5. Step 5: Solve for x
    x = 971,332.89/1,255.81
  6. Step 6: Final answer
    x = 773.47

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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.