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Finding the Fourth Proportional to 2,457.86, 3,686.85 and 608.94

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Solution

The fourth proportional to 2,457.86, 3,686.85 and 608.94 is: 913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.86 : 3,686.85 = 608.94 : x
  2. Step 2: Convert to fraction form
    2,457.86/3,686.85 = 608.94/x
  3. Step 3: Cross multiply
    2,457.86x = 3,686.85 × 608.94
  4. Step 4: Simplify right side
    2,457.86x = 2,245,070.44
  5. Step 5: Solve for x
    x = 2,245,070.44/2,457.86
  6. Step 6: Final answer
    x = 913.43

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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.