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Finding the Fourth Proportional to 771.91, 1,157.87 and 524.50

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Solution

The fourth proportional to 771.91, 1,157.87 and 524.50 is: 786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.91 : 1,157.87 = 524.50 : x
  2. Step 2: Convert to fraction form
    771.91/1,157.87 = 524.50/x
  3. Step 3: Cross multiply
    771.91x = 1,157.87 × 524.50
  4. Step 4: Simplify right side
    771.91x = 607,302.82
  5. Step 5: Solve for x
    x = 607,302.82/771.91
  6. Step 6: Final answer
    x = 786.75

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Why These Related Problems?

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