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Finding the Fourth Proportional to 700.86, 968.44 and 504.03

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Solution

The fourth proportional to 700.86, 968.44 and 504.03 is: 696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.86 : 968.44 = 504.03 : x
  2. Step 2: Convert to fraction form
    700.86/968.44 = 504.03/x
  3. Step 3: Cross multiply
    700.86x = 968.44 × 504.03
  4. Step 4: Simplify right side
    700.86x = 488,122.81
  5. Step 5: Solve for x
    x = 488,122.81/700.86
  6. Step 6: Final answer
    x = 696.46

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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.