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Finding the Fourth Proportional to 666.65, 919.79 and 386.83

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Solution

The fourth proportional to 666.65, 919.79 and 386.83 is: 533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.65 : 919.79 = 386.83 : x
  2. Step 2: Convert to fraction form
    666.65/919.79 = 386.83/x
  3. Step 3: Cross multiply
    666.65x = 919.79 × 386.83
  4. Step 4: Simplify right side
    666.65x = 355,802.37
  5. Step 5: Solve for x
    x = 355,802.37/666.65
  6. Step 6: Final answer
    x = 533.72

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Why These Related Problems?

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