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Finding the Fourth Proportional to 642.61, 964.48 and 334.67

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Solution

The fourth proportional to 642.61, 964.48 and 334.67 is: 502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.61 : 964.48 = 334.67 : x
  2. Step 2: Convert to fraction form
    642.61/964.48 = 334.67/x
  3. Step 3: Cross multiply
    642.61x = 964.48 × 334.67
  4. Step 4: Simplify right side
    642.61x = 322,782.52
  5. Step 5: Solve for x
    x = 322,782.52/642.61
  6. Step 6: Final answer
    x = 502.30

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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.