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Finding the Fourth Proportional to 469.93, 700.20 and 448.97

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Solution

The fourth proportional to 469.93, 700.20 and 448.97 is: 668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.93 : 700.20 = 448.97 : x
  2. Step 2: Convert to fraction form
    469.93/700.20 = 448.97/x
  3. Step 3: Cross multiply
    469.93x = 700.20 × 448.97
  4. Step 4: Simplify right side
    469.93x = 314,368.79
  5. Step 5: Solve for x
    x = 314,368.79/469.93
  6. Step 6: Final answer
    x = 668.97

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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.