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Finding the Fourth Proportional to 947.71, 1,421.61 and 298.51

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Solution

The fourth proportional to 947.71, 1,421.61 and 298.51 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.71 : 1,421.61 = 298.51 : x
  2. Step 2: Convert to fraction form
    947.71/1,421.61 = 298.51/x
  3. Step 3: Cross multiply
    947.71x = 1,421.61 × 298.51
  4. Step 4: Simplify right side
    947.71x = 424,364.80
  5. Step 5: Solve for x
    x = 424,364.80/947.71
  6. Step 6: Final answer
    x = 447.78

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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.