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Finding the Fourth Proportional to 666.90, 920.78 and 596.75

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Solution

The fourth proportional to 666.90, 920.78 and 596.75 is: 823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.90 : 920.78 = 596.75 : x
  2. Step 2: Convert to fraction form
    666.90/920.78 = 596.75/x
  3. Step 3: Cross multiply
    666.90x = 920.78 × 596.75
  4. Step 4: Simplify right side
    666.90x = 549,467.88
  5. Step 5: Solve for x
    x = 549,467.88/666.90
  6. Step 6: Final answer
    x = 823.91

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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.