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Finding the Fourth Proportional to 916.21, 1,373.37 and 395.83

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Solution

The fourth proportional to 916.21, 1,373.37 and 395.83 is: 593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.21 : 1,373.37 = 395.83 : x
  2. Step 2: Convert to fraction form
    916.21/1,373.37 = 395.83/x
  3. Step 3: Cross multiply
    916.21x = 1,373.37 × 395.83
  4. Step 4: Simplify right side
    916.21x = 543,621.05
  5. Step 5: Solve for x
    x = 543,621.05/916.21
  6. Step 6: Final answer
    x = 593.34

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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.