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Finding the Fourth Proportional to 1,668.01, 2,501.96 and 435.41

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Solution

The fourth proportional to 1,668.01, 2,501.96 and 435.41 is: 653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.01 : 2,501.96 = 435.41 : x
  2. Step 2: Convert to fraction form
    1,668.01/2,501.96 = 435.41/x
  3. Step 3: Cross multiply
    1,668.01x = 2,501.96 × 435.41
  4. Step 4: Simplify right side
    1,668.01x = 1,089,379.93
  5. Step 5: Solve for x
    x = 1,089,379.93/1,668.01
  6. Step 6: Final answer
    x = 653.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.