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Finding the Fourth Proportional to 947.40, 1,421.22 and 298.08

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Solution

The fourth proportional to 947.40, 1,421.22 and 298.08 is: 447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.40 : 1,421.22 = 298.08 : x
  2. Step 2: Convert to fraction form
    947.40/1,421.22 = 298.08/x
  3. Step 3: Cross multiply
    947.40x = 1,421.22 × 298.08
  4. Step 4: Simplify right side
    947.40x = 423,637.26
  5. Step 5: Solve for x
    x = 423,637.26/947.40
  6. Step 6: Final answer
    x = 447.16

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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.