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Finding the Fourth Proportional to 947.64, 1,420.85 and 399.68

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Solution

The fourth proportional to 947.64, 1,420.85 and 399.68 is: 599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.64 : 1,420.85 = 399.68 : x
  2. Step 2: Convert to fraction form
    947.64/1,420.85 = 399.68/x
  3. Step 3: Cross multiply
    947.64x = 1,420.85 × 399.68
  4. Step 4: Simplify right side
    947.64x = 567,878.22
  5. Step 5: Solve for x
    x = 567,878.22/947.64
  6. Step 6: Final answer
    x = 599.26

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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.