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Finding the Fourth Proportional to 1,677.65, 2,314.37 and 1,047.77

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Solution

The fourth proportional to 1,677.65, 2,314.37 and 1,047.77 is: 1,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.65 : 2,314.37 = 1,047.77 : x
  2. Step 2: Convert to fraction form
    1,677.65/2,314.37 = 1,047.77/x
  3. Step 3: Cross multiply
    1,677.65x = 2,314.37 × 1,047.77
  4. Step 4: Simplify right side
    1,677.65x = 2,424,910.64
  5. Step 5: Solve for x
    x = 2,424,910.64/1,677.65
  6. Step 6: Final answer
    x = 1,445.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.