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Finding the Fourth Proportional to 852.63, 1,278.94 and 339.63

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Solution

The fourth proportional to 852.63, 1,278.94 and 339.63 is: 509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.63 : 1,278.94 = 339.63 : x
  2. Step 2: Convert to fraction form
    852.63/1,278.94 = 339.63/x
  3. Step 3: Cross multiply
    852.63x = 1,278.94 × 339.63
  4. Step 4: Simplify right side
    852.63x = 434,360.00
  5. Step 5: Solve for x
    x = 434,360.00/852.63
  6. Step 6: Final answer
    x = 509.44

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Double scale
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1.5x scale

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.