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Finding the Fourth Proportional to 1,255.57, 1,883.01 and 525.03

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Solution

The fourth proportional to 1,255.57, 1,883.01 and 525.03 is: 787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.57 : 1,883.01 = 525.03 : x
  2. Step 2: Convert to fraction form
    1,255.57/1,883.01 = 525.03/x
  3. Step 3: Cross multiply
    1,255.57x = 1,883.01 × 525.03
  4. Step 4: Simplify right side
    1,255.57x = 988,636.74
  5. Step 5: Solve for x
    x = 988,636.74/1,255.57
  6. Step 6: Final answer
    x = 787.40

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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.