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Finding the Fourth Proportional to 642.20, 963.45 and 334.10

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Solution

The fourth proportional to 642.20, 963.45 and 334.10 is: 501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.20 : 963.45 = 334.10 : x
  2. Step 2: Convert to fraction form
    642.20/963.45 = 334.10/x
  3. Step 3: Cross multiply
    642.20x = 963.45 × 334.10
  4. Step 4: Simplify right side
    642.20x = 321,888.65
  5. Step 5: Solve for x
    x = 321,888.65/642.20
  6. Step 6: Final answer
    x = 501.23

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1.5x scale

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.