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Finding the Fourth Proportional to 947.16, 1,420.68 and 298.32

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Solution

The fourth proportional to 947.16, 1,420.68 and 298.32 is: 447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.16 : 1,420.68 = 298.32 : x
  2. Step 2: Convert to fraction form
    947.16/1,420.68 = 298.32/x
  3. Step 3: Cross multiply
    947.16x = 1,420.68 × 298.32
  4. Step 4: Simplify right side
    947.16x = 423,817.26
  5. Step 5: Solve for x
    x = 423,817.26/947.16
  6. Step 6: Final answer
    x = 447.46

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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.