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Finding the Fourth Proportional to 964.49, 1,330.97 and 571.50

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Solution

The fourth proportional to 964.49, 1,330.97 and 571.50 is: 788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.49 : 1,330.97 = 571.50 : x
  2. Step 2: Convert to fraction form
    964.49/1,330.97 = 571.50/x
  3. Step 3: Cross multiply
    964.49x = 1,330.97 × 571.50
  4. Step 4: Simplify right side
    964.49x = 760,646.50
  5. Step 5: Solve for x
    x = 760,646.50/964.49
  6. Step 6: Final answer
    x = 788.66

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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.