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Finding the Fourth Proportional to 852.02, 1,277.57 and 389.27

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Solution

The fourth proportional to 852.02, 1,277.57 and 389.27 is: 583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.02 : 1,277.57 = 389.27 : x
  2. Step 2: Convert to fraction form
    852.02/1,277.57 = 389.27/x
  3. Step 3: Cross multiply
    852.02x = 1,277.57 × 389.27
  4. Step 4: Simplify right side
    852.02x = 497,326.54
  5. Step 5: Solve for x
    x = 497,326.54/852.02
  6. Step 6: Final answer
    x = 583.70

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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.