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Finding the Fourth Proportional to 947.92, 1,420.46 and 459.94

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Solution

The fourth proportional to 947.92, 1,420.46 and 459.94 is: 689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.92 : 1,420.46 = 459.94 : x
  2. Step 2: Convert to fraction form
    947.92/1,420.46 = 459.94/x
  3. Step 3: Cross multiply
    947.92x = 1,420.46 × 459.94
  4. Step 4: Simplify right side
    947.92x = 653,326.37
  5. Step 5: Solve for x
    x = 653,326.37/947.92
  6. Step 6: Final answer
    x = 689.22

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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.