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Finding the Fourth Proportional to 947.34, 1,409.81 and 912.78

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Solution

The fourth proportional to 947.34, 1,409.81 and 912.78 is: 1,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.34 : 1,409.81 = 912.78 : x
  2. Step 2: Convert to fraction form
    947.34/1,409.81 = 912.78/x
  3. Step 3: Cross multiply
    947.34x = 1,409.81 × 912.78
  4. Step 4: Simplify right side
    947.34x = 1,286,841.81
  5. Step 5: Solve for x
    x = 1,286,841.81/947.34
  6. Step 6: Final answer
    x = 1,358.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.