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Finding the Fourth Proportional to 852.37, 1,277.34 and 486.25

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Solution

The fourth proportional to 852.37, 1,277.34 and 486.25 is: 728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.37 : 1,277.34 = 486.25 : x
  2. Step 2: Convert to fraction form
    852.37/1,277.34 = 486.25/x
  3. Step 3: Cross multiply
    852.37x = 1,277.34 × 486.25
  4. Step 4: Simplify right side
    852.37x = 621,106.58
  5. Step 5: Solve for x
    x = 621,106.58/852.37
  6. Step 6: Final answer
    x = 728.68

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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.