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Finding the Fourth Proportional to 917.09, 1,373.25 and 840.97

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Solution

The fourth proportional to 917.09, 1,373.25 and 840.97 is: 1,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.09 : 1,373.25 = 840.97 : x
  2. Step 2: Convert to fraction form
    917.09/1,373.25 = 840.97/x
  3. Step 3: Cross multiply
    917.09x = 1,373.25 × 840.97
  4. Step 4: Simplify right side
    917.09x = 1,154,862.05
  5. Step 5: Solve for x
    x = 1,154,862.05/917.09
  6. Step 6: Final answer
    x = 1,259.27

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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.