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Finding the Fourth Proportional to 402.83, 607.32 and 397.64

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Solution

The fourth proportional to 402.83, 607.32 and 397.64 is: 599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.83 : 607.32 = 397.64 : x
  2. Step 2: Convert to fraction form
    402.83/607.32 = 397.64/x
  3. Step 3: Cross multiply
    402.83x = 607.32 × 397.64
  4. Step 4: Simplify right side
    402.83x = 241,491.69
  5. Step 5: Solve for x
    x = 241,491.69/402.83
  6. Step 6: Final answer
    x = 599.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.