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Finding the Fourth Proportional to 851.30, 1,274.88 and 590.55

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Solution

The fourth proportional to 851.30, 1,274.88 and 590.55 is: 884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.30 : 1,274.88 = 590.55 : x
  2. Step 2: Convert to fraction form
    851.30/1,274.88 = 590.55/x
  3. Step 3: Cross multiply
    851.30x = 1,274.88 × 590.55
  4. Step 4: Simplify right side
    851.30x = 752,880.38
  5. Step 5: Solve for x
    x = 752,880.38/851.30
  6. Step 6: Final answer
    x = 884.39

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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.