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Finding the Fourth Proportional to 964.48, 1,330.81 and 571.36

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Solution

The fourth proportional to 964.48, 1,330.81 and 571.36 is: 788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.48 : 1,330.81 = 571.36 : x
  2. Step 2: Convert to fraction form
    964.48/1,330.81 = 571.36/x
  3. Step 3: Cross multiply
    964.48x = 1,330.81 × 571.36
  4. Step 4: Simplify right side
    964.48x = 760,371.60
  5. Step 5: Solve for x
    x = 760,371.60/964.48
  6. Step 6: Final answer
    x = 788.37

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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.