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Finding the Fourth Proportional to 642.81, 963.62 and 470.33

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Solution

The fourth proportional to 642.81, 963.62 and 470.33 is: 705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.81 : 963.62 = 470.33 : x
  2. Step 2: Convert to fraction form
    642.81/963.62 = 470.33/x
  3. Step 3: Cross multiply
    642.81x = 963.62 × 470.33
  4. Step 4: Simplify right side
    642.81x = 453,215.75
  5. Step 5: Solve for x
    x = 453,215.75/642.81
  6. Step 6: Final answer
    x = 705.05

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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.