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Finding the Fourth Proportional to 926.57, 1,279.62 and 847.60

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Solution

The fourth proportional to 926.57, 1,279.62 and 847.60 is: 1,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.57 : 1,279.62 = 847.60 : x
  2. Step 2: Convert to fraction form
    926.57/1,279.62 = 847.60/x
  3. Step 3: Cross multiply
    926.57x = 1,279.62 × 847.60
  4. Step 4: Simplify right side
    926.57x = 1,084,602.71
  5. Step 5: Solve for x
    x = 1,084,602.71/926.57
  6. Step 6: Final answer
    x = 1,170.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.