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Finding the Fourth Proportional to 412.19, 614.77 and 405.85

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Solution

The fourth proportional to 412.19, 614.77 and 405.85 is: 605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.19 : 614.77 = 405.85 : x
  2. Step 2: Convert to fraction form
    412.19/614.77 = 405.85/x
  3. Step 3: Cross multiply
    412.19x = 614.77 × 405.85
  4. Step 4: Simplify right side
    412.19x = 249,499.30
  5. Step 5: Solve for x
    x = 249,499.30/412.19
  6. Step 6: Final answer
    x = 605.30

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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.