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Finding the Fourth Proportional to 772.23, 1,157.43 and 446.91

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Solution

The fourth proportional to 772.23, 1,157.43 and 446.91 is: 669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.23 : 1,157.43 = 446.91 : x
  2. Step 2: Convert to fraction form
    772.23/1,157.43 = 446.91/x
  3. Step 3: Cross multiply
    772.23x = 1,157.43 × 446.91
  4. Step 4: Simplify right side
    772.23x = 517,267.04
  5. Step 5: Solve for x
    x = 517,267.04/772.23
  6. Step 6: Final answer
    x = 669.84

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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.