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Finding the Fourth Proportional to 1,256.68, 1,734.90 and 785.00

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Solution

The fourth proportional to 1,256.68, 1,734.90 and 785.00 is: 1,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.68 : 1,734.90 = 785.00 : x
  2. Step 2: Convert to fraction form
    1,256.68/1,734.90 = 785.00/x
  3. Step 3: Cross multiply
    1,256.68x = 1,734.90 × 785.00
  4. Step 4: Simplify right side
    1,256.68x = 1,361,897.89
  5. Step 5: Solve for x
    x = 1,361,897.89/1,256.68
  6. Step 6: Final answer
    x = 1,083.73

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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.