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Finding the Fourth Proportional to 840.51, 1,257.59 and 755.25

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Solution

The fourth proportional to 840.51, 1,257.59 and 755.25 is: 1,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.51 : 1,257.59 = 755.25 : x
  2. Step 2: Convert to fraction form
    840.51/1,257.59 = 755.25/x
  3. Step 3: Cross multiply
    840.51x = 1,257.59 × 755.25
  4. Step 4: Simplify right side
    840.51x = 949,794.85
  5. Step 5: Solve for x
    x = 949,794.85/840.51
  6. Step 6: Final answer
    x = 1,130.02

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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.