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Finding the Fourth Proportional to 469.14, 700.27 and 448.08

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Solution

The fourth proportional to 469.14, 700.27 and 448.08 is: 668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.14 : 700.27 = 448.08 : x
  2. Step 2: Convert to fraction form
    469.14/700.27 = 448.08/x
  3. Step 3: Cross multiply
    469.14x = 700.27 × 448.08
  4. Step 4: Simplify right side
    469.14x = 313,776.98
  5. Step 5: Solve for x
    x = 313,776.98/469.14
  6. Step 6: Final answer
    x = 668.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.