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Finding the Fourth Proportional to 665.74, 918.94 and 386.26

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Solution

The fourth proportional to 665.74, 918.94 and 386.26 is: 533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.74 : 918.94 = 386.26 : x
  2. Step 2: Convert to fraction form
    665.74/918.94 = 386.26/x
  3. Step 3: Cross multiply
    665.74x = 918.94 × 386.26
  4. Step 4: Simplify right side
    665.74x = 354,946.50
  5. Step 5: Solve for x
    x = 354,946.50/665.74
  6. Step 6: Final answer
    x = 533.16

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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.