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Finding the Fourth Proportional to 912.60, 1,367.64 and 623.16

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Solution

The fourth proportional to 912.60, 1,367.64 and 623.16 is: 933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.60 : 1,367.64 = 623.16 : x
  2. Step 2: Convert to fraction form
    912.60/1,367.64 = 623.16/x
  3. Step 3: Cross multiply
    912.60x = 1,367.64 × 623.16
  4. Step 4: Simplify right side
    912.60x = 852,258.54
  5. Step 5: Solve for x
    x = 852,258.54/912.60
  6. Step 6: Final answer
    x = 933.88

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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.