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Finding the Fourth Proportional to 964.44, 1,330.56 and 684.59

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Solution

The fourth proportional to 964.44, 1,330.56 and 684.59 is: 944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.44 : 1,330.56 = 684.59 : x
  2. Step 2: Convert to fraction form
    964.44/1,330.56 = 684.59/x
  3. Step 3: Cross multiply
    964.44x = 1,330.56 × 684.59
  4. Step 4: Simplify right side
    964.44x = 910,881.42
  5. Step 5: Solve for x
    x = 910,881.42/964.44
  6. Step 6: Final answer
    x = 944.47

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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.