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Finding the Fourth Proportional to 642.93, 964.83 and 399.59

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Solution

The fourth proportional to 642.93, 964.83 and 399.59 is: 599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.93 : 964.83 = 399.59 : x
  2. Step 2: Convert to fraction form
    642.93/964.83 = 399.59/x
  3. Step 3: Cross multiply
    642.93x = 964.83 × 399.59
  4. Step 4: Simplify right side
    642.93x = 385,536.42
  5. Step 5: Solve for x
    x = 385,536.42/642.93
  6. Step 6: Final answer
    x = 599.66

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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.