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Finding the Fourth Proportional to 1,256.17, 1,883.54 and 515.57

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Solution

The fourth proportional to 1,256.17, 1,883.54 and 515.57 is: 773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.17 : 1,883.54 = 515.57 : x
  2. Step 2: Convert to fraction form
    1,256.17/1,883.54 = 515.57/x
  3. Step 3: Cross multiply
    1,256.17x = 1,883.54 × 515.57
  4. Step 4: Simplify right side
    1,256.17x = 971,096.72
  5. Step 5: Solve for x
    x = 971,096.72/1,256.17
  6. Step 6: Final answer
    x = 773.06

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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.