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Finding the Fourth Proportional to 700.14, 965.58 and 420.28

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Solution

The fourth proportional to 700.14, 965.58 and 420.28 is: 579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.14 : 965.58 = 420.28 : x
  2. Step 2: Convert to fraction form
    700.14/965.58 = 420.28/x
  3. Step 3: Cross multiply
    700.14x = 965.58 × 420.28
  4. Step 4: Simplify right side
    700.14x = 405,811.57
  5. Step 5: Solve for x
    x = 405,811.57/700.14
  6. Step 6: Final answer
    x = 579.61

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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.