Home / 642.24-964.95-411.23

Finding the Fourth Proportional to 642.24, 964.95 and 411.23

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Solution

The fourth proportional to 642.24, 964.95 and 411.23 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 964.95 = 411.23 : x
  2. Step 2: Convert to fraction form
    642.24/964.95 = 411.23/x
  3. Step 3: Cross multiply
    642.24x = 964.95 × 411.23
  4. Step 4: Simplify right side
    642.24x = 396,816.39
  5. Step 5: Solve for x
    x = 396,816.39/642.24
  6. Step 6: Final answer
    x = 617.86

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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.