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Finding the Fourth Proportional to 964.98, 1,331.64 and 571.77

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Solution

The fourth proportional to 964.98, 1,331.64 and 571.77 is: 789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.98 : 1,331.64 = 571.77 : x
  2. Step 2: Convert to fraction form
    964.98/1,331.64 = 571.77/x
  3. Step 3: Cross multiply
    964.98x = 1,331.64 × 571.77
  4. Step 4: Simplify right side
    964.98x = 761,391.80
  5. Step 5: Solve for x
    x = 761,391.80/964.98
  6. Step 6: Final answer
    x = 789.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.