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Finding the Fourth Proportional to 703.83, 970.97 and 556.23

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Solution

The fourth proportional to 703.83, 970.97 and 556.23 is: 767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.83 : 970.97 = 556.23 : x
  2. Step 2: Convert to fraction form
    703.83/970.97 = 556.23/x
  3. Step 3: Cross multiply
    703.83x = 970.97 × 556.23
  4. Step 4: Simplify right side
    703.83x = 540,079.86
  5. Step 5: Solve for x
    x = 540,079.86/703.83
  6. Step 6: Final answer
    x = 767.34

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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.