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Finding the Fourth Proportional to 852.01, 1,276.41 and 678.87

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Solution

The fourth proportional to 852.01, 1,276.41 and 678.87 is: 1,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.01 : 1,276.41 = 678.87 : x
  2. Step 2: Convert to fraction form
    852.01/1,276.41 = 678.87/x
  3. Step 3: Cross multiply
    852.01x = 1,276.41 × 678.87
  4. Step 4: Simplify right side
    852.01x = 866,519.00
  5. Step 5: Solve for x
    x = 866,519.00/852.01
  6. Step 6: Final answer
    x = 1,017.03

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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.