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Finding the Fourth Proportional to 947.94, 1,421.64 and 362.54

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Solution

The fourth proportional to 947.94, 1,421.64 and 362.54 is: 543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,421.64 = 362.54 : x
  2. Step 2: Convert to fraction form
    947.94/1,421.64 = 362.54/x
  3. Step 3: Cross multiply
    947.94x = 1,421.64 × 362.54
  4. Step 4: Simplify right side
    947.94x = 515,394.26
  5. Step 5: Solve for x
    x = 515,394.26/947.94
  6. Step 6: Final answer
    x = 543.70

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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.