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Finding the Fourth Proportional to 852.14, 1,277.58 and 332.12

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Solution

The fourth proportional to 852.14, 1,277.58 and 332.12 is: 497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.14 : 1,277.58 = 332.12 : x
  2. Step 2: Convert to fraction form
    852.14/1,277.58 = 332.12/x
  3. Step 3: Cross multiply
    852.14x = 1,277.58 × 332.12
  4. Step 4: Simplify right side
    852.14x = 424,309.87
  5. Step 5: Solve for x
    x = 424,309.87/852.14
  6. Step 6: Final answer
    x = 497.93

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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.