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Finding the Fourth Proportional to 667.07, 920.87 and 418.77

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Solution

The fourth proportional to 667.07, 920.87 and 418.77 is: 578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.07 : 920.87 = 418.77 : x
  2. Step 2: Convert to fraction form
    667.07/920.87 = 418.77/x
  3. Step 3: Cross multiply
    667.07x = 920.87 × 418.77
  4. Step 4: Simplify right side
    667.07x = 385,632.21
  5. Step 5: Solve for x
    x = 385,632.21/667.07
  6. Step 6: Final answer
    x = 578.10

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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.