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Finding the Fourth Proportional to 1,256.51, 1,734.82 and 785.12

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Solution

The fourth proportional to 1,256.51, 1,734.82 and 785.12 is: 1,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.51 : 1,734.82 = 785.12 : x
  2. Step 2: Convert to fraction form
    1,256.51/1,734.82 = 785.12/x
  3. Step 3: Cross multiply
    1,256.51x = 1,734.82 × 785.12
  4. Step 4: Simplify right side
    1,256.51x = 1,362,031.24
  5. Step 5: Solve for x
    x = 1,362,031.24/1,256.51
  6. Step 6: Final answer
    x = 1,083.98

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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.