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Finding the Fourth Proportional to 947.89, 1,410.48 and 944.65

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Solution

The fourth proportional to 947.89, 1,410.48 and 944.65 is: 1,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.89 : 1,410.48 = 944.65 : x
  2. Step 2: Convert to fraction form
    947.89/1,410.48 = 944.65/x
  3. Step 3: Cross multiply
    947.89x = 1,410.48 × 944.65
  4. Step 4: Simplify right side
    947.89x = 1,332,409.93
  5. Step 5: Solve for x
    x = 1,332,409.93/947.89
  6. Step 6: Final answer
    x = 1,405.66

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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.