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Finding the Fourth Proportional to 674.63, 1,011.86 and 212.32

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Solution

The fourth proportional to 674.63, 1,011.86 and 212.32 is: 318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.63 : 1,011.86 = 212.32 : x
  2. Step 2: Convert to fraction form
    674.63/1,011.86 = 212.32/x
  3. Step 3: Cross multiply
    674.63x = 1,011.86 × 212.32
  4. Step 4: Simplify right side
    674.63x = 214,831.99
  5. Step 5: Solve for x
    x = 214,831.99/674.63
  6. Step 6: Final answer
    x = 318.45

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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.