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Finding the Fourth Proportional to 665.84, 919.14 and 403.94

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Solution

The fourth proportional to 665.84, 919.14 and 403.94 is: 557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 919.14 = 403.94 : x
  2. Step 2: Convert to fraction form
    665.84/919.14 = 403.94/x
  3. Step 3: Cross multiply
    665.84x = 919.14 × 403.94
  4. Step 4: Simplify right side
    665.84x = 371,277.41
  5. Step 5: Solve for x
    x = 371,277.41/665.84
  6. Step 6: Final answer
    x = 557.61

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