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Finding the Fourth Proportional to 964.46, 1,330.98 and 571.80

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Solution

The fourth proportional to 964.46, 1,330.98 and 571.80 is: 789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.46 : 1,330.98 = 571.80 : x
  2. Step 2: Convert to fraction form
    964.46/1,330.98 = 571.80/x
  3. Step 3: Cross multiply
    964.46x = 1,330.98 × 571.80
  4. Step 4: Simplify right side
    964.46x = 761,054.36
  5. Step 5: Solve for x
    x = 761,054.36/964.46
  6. Step 6: Final answer
    x = 789.10

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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.