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Finding the Fourth Proportional to 772.50, 1,157.67 and 406.55

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Solution

The fourth proportional to 772.50, 1,157.67 and 406.55 is: 609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.50 : 1,157.67 = 406.55 : x
  2. Step 2: Convert to fraction form
    772.50/1,157.67 = 406.55/x
  3. Step 3: Cross multiply
    772.50x = 1,157.67 × 406.55
  4. Step 4: Simplify right side
    772.50x = 470,650.74
  5. Step 5: Solve for x
    x = 470,650.74/772.50
  6. Step 6: Final answer
    x = 609.26

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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.