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Finding the Fourth Proportional to 666.56, 914.96 and 591.23

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Solution

The fourth proportional to 666.56, 914.96 and 591.23 is: 811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 914.96 = 591.23 : x
  2. Step 2: Convert to fraction form
    666.56/914.96 = 591.23/x
  3. Step 3: Cross multiply
    666.56x = 914.96 × 591.23
  4. Step 4: Simplify right side
    666.56x = 540,951.80
  5. Step 5: Solve for x
    x = 540,951.80/666.56
  6. Step 6: Final answer
    x = 811.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.