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Finding the Fourth Proportional to 700.09, 965.95 and 464.38

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Solution

The fourth proportional to 700.09, 965.95 and 464.38 is: 640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.09 : 965.95 = 464.38 : x
  2. Step 2: Convert to fraction form
    700.09/965.95 = 464.38/x
  3. Step 3: Cross multiply
    700.09x = 965.95 × 464.38
  4. Step 4: Simplify right side
    700.09x = 448,564.29
  5. Step 5: Solve for x
    x = 448,564.29/700.09
  6. Step 6: Final answer
    x = 640.73

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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.