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Finding the Fourth Proportional to 840.09, 1,259.20 and 633.99

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Solution

The fourth proportional to 840.09, 1,259.20 and 633.99 is: 950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.09 : 1,259.20 = 633.99 : x
  2. Step 2: Convert to fraction form
    840.09/1,259.20 = 633.99/x
  3. Step 3: Cross multiply
    840.09x = 1,259.20 × 633.99
  4. Step 4: Simplify right side
    840.09x = 798,312.71
  5. Step 5: Solve for x
    x = 798,312.71/840.09
  6. Step 6: Final answer
    x = 950.27

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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.