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Finding the Fourth Proportional to 2,457.39, 3,685.99 and 608.49

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Solution

The fourth proportional to 2,457.39, 3,685.99 and 608.49 is: 912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.39 : 3,685.99 = 608.49 : x
  2. Step 2: Convert to fraction form
    2,457.39/3,685.99 = 608.49/x
  3. Step 3: Cross multiply
    2,457.39x = 3,685.99 × 608.49
  4. Step 4: Simplify right side
    2,457.39x = 2,242,888.06
  5. Step 5: Solve for x
    x = 2,242,888.06/2,457.39
  6. Step 6: Final answer
    x = 912.71

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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.