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Finding the Fourth Proportional to 850.77, 1,276.52 and 465.57

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Solution

The fourth proportional to 850.77, 1,276.52 and 465.57 is: 698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.77 : 1,276.52 = 465.57 : x
  2. Step 2: Convert to fraction form
    850.77/1,276.52 = 465.57/x
  3. Step 3: Cross multiply
    850.77x = 1,276.52 × 465.57
  4. Step 4: Simplify right side
    850.77x = 594,307.09
  5. Step 5: Solve for x
    x = 594,307.09/850.77
  6. Step 6: Final answer
    x = 698.55

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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.