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Finding the Fourth Proportional to 605.98, 835.68 and 407.26

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Solution

The fourth proportional to 605.98, 835.68 and 407.26 is: 561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.98 : 835.68 = 407.26 : x
  2. Step 2: Convert to fraction form
    605.98/835.68 = 407.26/x
  3. Step 3: Cross multiply
    605.98x = 835.68 × 407.26
  4. Step 4: Simplify right side
    605.98x = 340,339.04
  5. Step 5: Solve for x
    x = 340,339.04/605.98
  6. Step 6: Final answer
    x = 561.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.