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Finding the Fourth Proportional to 889.64, 1,333.96 and 642.94

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Solution

The fourth proportional to 889.64, 1,333.96 and 642.94 is: 964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.64 : 1,333.96 = 642.94 : x
  2. Step 2: Convert to fraction form
    889.64/1,333.96 = 642.94/x
  3. Step 3: Cross multiply
    889.64x = 1,333.96 × 642.94
  4. Step 4: Simplify right side
    889.64x = 857,651.30
  5. Step 5: Solve for x
    x = 857,651.30/889.64
  6. Step 6: Final answer
    x = 964.05

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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.