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Finding the Fourth Proportional to 912.37, 1,366.62 and 478.63

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Solution

The fourth proportional to 912.37, 1,366.62 and 478.63 is: 716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.37 : 1,366.62 = 478.63 : x
  2. Step 2: Convert to fraction form
    912.37/1,366.62 = 478.63/x
  3. Step 3: Cross multiply
    912.37x = 1,366.62 × 478.63
  4. Step 4: Simplify right side
    912.37x = 654,105.33
  5. Step 5: Solve for x
    x = 654,105.33/912.37
  6. Step 6: Final answer
    x = 716.93

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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.