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Finding the Fourth Proportional to 850.26, 1,274.30 and 465.06

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Solution

The fourth proportional to 850.26, 1,274.30 and 465.06 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.26 : 1,274.30 = 465.06 : x
  2. Step 2: Convert to fraction form
    850.26/1,274.30 = 465.06/x
  3. Step 3: Cross multiply
    850.26x = 1,274.30 × 465.06
  4. Step 4: Simplify right side
    850.26x = 592,619.59
  5. Step 5: Solve for x
    x = 592,619.59/850.26
  6. Step 6: Final answer
    x = 696.99

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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.