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Finding the Fourth Proportional to 964.64, 1,331.42 and 684.58

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Solution

The fourth proportional to 964.64, 1,331.42 and 684.58 is: 944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.64 : 1,331.42 = 684.58 : x
  2. Step 2: Convert to fraction form
    964.64/1,331.42 = 684.58/x
  3. Step 3: Cross multiply
    964.64x = 1,331.42 × 684.58
  4. Step 4: Simplify right side
    964.64x = 911,463.50
  5. Step 5: Solve for x
    x = 911,463.50/964.64
  6. Step 6: Final answer
    x = 944.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.