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Finding the Fourth Proportional to 947.94, 1,420.26 and 581.64

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Solution

The fourth proportional to 947.94, 1,420.26 and 581.64 is: 871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,420.26 = 581.64 : x
  2. Step 2: Convert to fraction form
    947.94/1,420.26 = 581.64/x
  3. Step 3: Cross multiply
    947.94x = 1,420.26 × 581.64
  4. Step 4: Simplify right side
    947.94x = 826,080.03
  5. Step 5: Solve for x
    x = 826,080.03/947.94
  6. Step 6: Final answer
    x = 871.45

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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.