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Finding the Fourth Proportional to 405.17, 606.84 and 283.98

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Solution

The fourth proportional to 405.17, 606.84 and 283.98 is: 425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.17 : 606.84 = 283.98 : x
  2. Step 2: Convert to fraction form
    405.17/606.84 = 283.98/x
  3. Step 3: Cross multiply
    405.17x = 606.84 × 283.98
  4. Step 4: Simplify right side
    405.17x = 172,327.39
  5. Step 5: Solve for x
    x = 172,327.39/405.17
  6. Step 6: Final answer
    x = 425.32

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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.