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Finding the Fourth Proportional to 679.46, 1,019.46 and 405.68

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Solution

The fourth proportional to 679.46, 1,019.46 and 405.68 is: 608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.46 : 1,019.46 = 405.68 : x
  2. Step 2: Convert to fraction form
    679.46/1,019.46 = 405.68/x
  3. Step 3: Cross multiply
    679.46x = 1,019.46 × 405.68
  4. Step 4: Simplify right side
    679.46x = 413,574.53
  5. Step 5: Solve for x
    x = 413,574.53/679.46
  6. Step 6: Final answer
    x = 608.68

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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.