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Finding the Fourth Proportional to 642.96, 963.36 and 400.08

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Solution

The fourth proportional to 642.96, 963.36 and 400.08 is: 599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.96 : 963.36 = 400.08 : x
  2. Step 2: Convert to fraction form
    642.96/963.36 = 400.08/x
  3. Step 3: Cross multiply
    642.96x = 963.36 × 400.08
  4. Step 4: Simplify right side
    642.96x = 385,421.07
  5. Step 5: Solve for x
    x = 385,421.07/642.96
  6. Step 6: Final answer
    x = 599.45

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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.