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Finding the Fourth Proportional to 666.94, 920.54 and 405.17

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Solution

The fourth proportional to 666.94, 920.54 and 405.17 is: 559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.94 : 920.54 = 405.17 : x
  2. Step 2: Convert to fraction form
    666.94/920.54 = 405.17/x
  3. Step 3: Cross multiply
    666.94x = 920.54 × 405.17
  4. Step 4: Simplify right side
    666.94x = 372,973.17
  5. Step 5: Solve for x
    x = 372,973.17/666.94
  6. Step 6: Final answer
    x = 559.23

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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.