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Finding the Fourth Proportional to 660.84, 989.84 and 386.66

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Solution

The fourth proportional to 660.84, 989.84 and 386.66 is: 579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.84 : 989.84 = 386.66 : x
  2. Step 2: Convert to fraction form
    660.84/989.84 = 386.66/x
  3. Step 3: Cross multiply
    660.84x = 989.84 × 386.66
  4. Step 4: Simplify right side
    660.84x = 382,731.53
  5. Step 5: Solve for x
    x = 382,731.53/660.84
  6. Step 6: Final answer
    x = 579.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.