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Finding the Fourth Proportional to 947.76, 1,421.24 and 857.31

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Solution

The fourth proportional to 947.76, 1,421.24 and 857.31 is: 1,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.76 : 1,421.24 = 857.31 : x
  2. Step 2: Convert to fraction form
    947.76/1,421.24 = 857.31/x
  3. Step 3: Cross multiply
    947.76x = 1,421.24 × 857.31
  4. Step 4: Simplify right side
    947.76x = 1,218,438.98
  5. Step 5: Solve for x
    x = 1,218,438.98/947.76
  6. Step 6: Final answer
    x = 1,285.60

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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.