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Finding the Fourth Proportional to 840.26, 1,259.46 and 610.15

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Solution

The fourth proportional to 840.26, 1,259.46 and 610.15 is: 914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.26 : 1,259.46 = 610.15 : x
  2. Step 2: Convert to fraction form
    840.26/1,259.46 = 610.15/x
  3. Step 3: Cross multiply
    840.26x = 1,259.46 × 610.15
  4. Step 4: Simplify right side
    840.26x = 768,457.02
  5. Step 5: Solve for x
    x = 768,457.02/840.26
  6. Step 6: Final answer
    x = 914.55

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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.