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Finding the Fourth Proportional to 840.75, 1,259.09 and 493.05

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Solution

The fourth proportional to 840.75, 1,259.09 and 493.05 is: 738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.75 : 1,259.09 = 493.05 : x
  2. Step 2: Convert to fraction form
    840.75/1,259.09 = 493.05/x
  3. Step 3: Cross multiply
    840.75x = 1,259.09 × 493.05
  4. Step 4: Simplify right side
    840.75x = 620,794.32
  5. Step 5: Solve for x
    x = 620,794.32/840.75
  6. Step 6: Final answer
    x = 738.38

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1.5x scale

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.