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Finding the Fourth Proportional to 407.06, 605.72 and 405.70

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Solution

The fourth proportional to 407.06, 605.72 and 405.70 is: 603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.06 : 605.72 = 405.70 : x
  2. Step 2: Convert to fraction form
    407.06/605.72 = 405.70/x
  3. Step 3: Cross multiply
    407.06x = 605.72 × 405.70
  4. Step 4: Simplify right side
    407.06x = 245,736.40
  5. Step 5: Solve for x
    x = 245,736.40/407.06
  6. Step 6: Final answer
    x = 603.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.