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Finding the Fourth Proportional to 771.64, 1,156.84 and 528.23

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Solution

The fourth proportional to 771.64, 1,156.84 and 528.23 is: 791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.64 : 1,156.84 = 528.23 : x
  2. Step 2: Convert to fraction form
    771.64/1,156.84 = 528.23/x
  3. Step 3: Cross multiply
    771.64x = 1,156.84 × 528.23
  4. Step 4: Simplify right side
    771.64x = 611,077.59
  5. Step 5: Solve for x
    x = 611,077.59/771.64
  6. Step 6: Final answer
    x = 791.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.