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Finding the Fourth Proportional to 665.03, 914.94 and 646.80

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Solution

The fourth proportional to 665.03, 914.94 and 646.80 is: 889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.03 : 914.94 = 646.80 : x
  2. Step 2: Convert to fraction form
    665.03/914.94 = 646.80/x
  3. Step 3: Cross multiply
    665.03x = 914.94 × 646.80
  4. Step 4: Simplify right side
    665.03x = 591,783.19
  5. Step 5: Solve for x
    x = 591,783.19/665.03
  6. Step 6: Final answer
    x = 889.87

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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.