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Finding the Fourth Proportional to 852.77, 1,277.36 and 390.94

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Solution

The fourth proportional to 852.77, 1,277.36 and 390.94 is: 585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.77 : 1,277.36 = 390.94 : x
  2. Step 2: Convert to fraction form
    852.77/1,277.36 = 390.94/x
  3. Step 3: Cross multiply
    852.77x = 1,277.36 × 390.94
  4. Step 4: Simplify right side
    852.77x = 499,362.78
  5. Step 5: Solve for x
    x = 499,362.78/852.77
  6. Step 6: Final answer
    x = 585.58

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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.