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Finding the Fourth Proportional to 937.21, 1,405.83 and 505.21

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Solution

The fourth proportional to 937.21, 1,405.83 and 505.21 is: 757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.21 : 1,405.83 = 505.21 : x
  2. Step 2: Convert to fraction form
    937.21/1,405.83 = 505.21/x
  3. Step 3: Cross multiply
    937.21x = 1,405.83 × 505.21
  4. Step 4: Simplify right side
    937.21x = 710,239.37
  5. Step 5: Solve for x
    x = 710,239.37/937.21
  6. Step 6: Final answer
    x = 757.82

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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.