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Finding the Fourth Proportional to 1,255.76, 1,883.66 and 525.14

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Solution

The fourth proportional to 1,255.76, 1,883.66 and 525.14 is: 787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.76 : 1,883.66 = 525.14 : x
  2. Step 2: Convert to fraction form
    1,255.76/1,883.66 = 525.14/x
  3. Step 3: Cross multiply
    1,255.76x = 1,883.66 × 525.14
  4. Step 4: Simplify right side
    1,255.76x = 989,173.17
  5. Step 5: Solve for x
    x = 989,173.17/1,255.76
  6. Step 6: Final answer
    x = 787.71

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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.