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Finding the Fourth Proportional to 1,256.49, 1,734.75 and 808.56

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Solution

The fourth proportional to 1,256.49, 1,734.75 and 808.56 is: 1,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.49 : 1,734.75 = 808.56 : x
  2. Step 2: Convert to fraction form
    1,256.49/1,734.75 = 808.56/x
  3. Step 3: Cross multiply
    1,256.49x = 1,734.75 × 808.56
  4. Step 4: Simplify right side
    1,256.49x = 1,402,649.46
  5. Step 5: Solve for x
    x = 1,402,649.46/1,256.49
  6. Step 6: Final answer
    x = 1,116.32

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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.