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Finding the Fourth Proportional to 700.08, 965.95 and 420.23

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Solution

The fourth proportional to 700.08, 965.95 and 420.23 is: 579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.08 : 965.95 = 420.23 : x
  2. Step 2: Convert to fraction form
    700.08/965.95 = 420.23/x
  3. Step 3: Cross multiply
    700.08x = 965.95 × 420.23
  4. Step 4: Simplify right side
    700.08x = 405,914.24
  5. Step 5: Solve for x
    x = 405,914.24/700.08
  6. Step 6: Final answer
    x = 579.81

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1.5x scale

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.