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Finding the Fourth Proportional to 1,255.28, 1,883.34 and 525.20

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Solution

The fourth proportional to 1,255.28, 1,883.34 and 525.20 is: 787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.28 : 1,883.34 = 525.20 : x
  2. Step 2: Convert to fraction form
    1,255.28/1,883.34 = 525.20/x
  3. Step 3: Cross multiply
    1,255.28x = 1,883.34 × 525.20
  4. Step 4: Simplify right side
    1,255.28x = 989,130.17
  5. Step 5: Solve for x
    x = 989,130.17/1,255.28
  6. Step 6: Final answer
    x = 787.98

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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.