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Finding the Fourth Proportional to 666.89, 920.52 and 596.82

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Solution

The fourth proportional to 666.89, 920.52 and 596.82 is: 823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.89 : 920.52 = 596.82 : x
  2. Step 2: Convert to fraction form
    666.89/920.52 = 596.82/x
  3. Step 3: Cross multiply
    666.89x = 920.52 × 596.82
  4. Step 4: Simplify right side
    666.89x = 549,384.75
  5. Step 5: Solve for x
    x = 549,384.75/666.89
  6. Step 6: Final answer
    x = 823.80

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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.