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Finding the Fourth Proportional to 666.70, 920.16 and 418.23

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Solution

The fourth proportional to 666.70, 920.16 and 418.23 is: 577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.70 : 920.16 = 418.23 : x
  2. Step 2: Convert to fraction form
    666.70/920.16 = 418.23/x
  3. Step 3: Cross multiply
    666.70x = 920.16 × 418.23
  4. Step 4: Simplify right side
    666.70x = 384,838.52
  5. Step 5: Solve for x
    x = 384,838.52/666.70
  6. Step 6: Final answer
    x = 577.23

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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.