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Finding the Fourth Proportional to 964.84, 1,330.96 and 571.80

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Solution

The fourth proportional to 964.84, 1,330.96 and 571.80 is: 788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.84 : 1,330.96 = 571.80 : x
  2. Step 2: Convert to fraction form
    964.84/1,330.96 = 571.80/x
  3. Step 3: Cross multiply
    964.84x = 1,330.96 × 571.80
  4. Step 4: Simplify right side
    964.84x = 761,042.93
  5. Step 5: Solve for x
    x = 761,042.93/964.84
  6. Step 6: Final answer
    x = 788.78

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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.