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Finding the Fourth Proportional to 946.64, 1,420.92 and 399.20

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Solution

The fourth proportional to 946.64, 1,420.92 and 399.20 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.64 : 1,420.92 = 399.20 : x
  2. Step 2: Convert to fraction form
    946.64/1,420.92 = 399.20/x
  3. Step 3: Cross multiply
    946.64x = 1,420.92 × 399.20
  4. Step 4: Simplify right side
    946.64x = 567,231.26
  5. Step 5: Solve for x
    x = 567,231.26/946.64
  6. Step 6: Final answer
    x = 599.20

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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.