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Finding the Fourth Proportional to 964.94, 1,331.79 and 757.58

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Solution

The fourth proportional to 964.94, 1,331.79 and 757.58 is: 1,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.94 : 1,331.79 = 757.58 : x
  2. Step 2: Convert to fraction form
    964.94/1,331.79 = 757.58/x
  3. Step 3: Cross multiply
    964.94x = 1,331.79 × 757.58
  4. Step 4: Simplify right side
    964.94x = 1,008,937.47
  5. Step 5: Solve for x
    x = 1,008,937.47/964.94
  6. Step 6: Final answer
    x = 1,045.60

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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.