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Finding the Fourth Proportional to 851.30, 1,279.65 and 802.70

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Solution

The fourth proportional to 851.30, 1,279.65 and 802.70 is: 1,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.30 : 1,279.65 = 802.70 : x
  2. Step 2: Convert to fraction form
    851.30/1,279.65 = 802.70/x
  3. Step 3: Cross multiply
    851.30x = 1,279.65 × 802.70
  4. Step 4: Simplify right side
    851.30x = 1,027,175.06
  5. Step 5: Solve for x
    x = 1,027,175.06/851.30
  6. Step 6: Final answer
    x = 1,206.60

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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.