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Finding the Fourth Proportional to 851.55, 1,275.39 and 441.06

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Solution

The fourth proportional to 851.55, 1,275.39 and 441.06 is: 660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.55 : 1,275.39 = 441.06 : x
  2. Step 2: Convert to fraction form
    851.55/1,275.39 = 441.06/x
  3. Step 3: Cross multiply
    851.55x = 1,275.39 × 441.06
  4. Step 4: Simplify right side
    851.55x = 562,523.51
  5. Step 5: Solve for x
    x = 562,523.51/851.55
  6. Step 6: Final answer
    x = 660.59

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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.