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Finding the Fourth Proportional to 1,256.98, 1,735.67 and 815.63

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Solution

The fourth proportional to 1,256.98, 1,735.67 and 815.63 is: 1,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.98 : 1,735.67 = 815.63 : x
  2. Step 2: Convert to fraction form
    1,256.98/1,735.67 = 815.63/x
  3. Step 3: Cross multiply
    1,256.98x = 1,735.67 × 815.63
  4. Step 4: Simplify right side
    1,256.98x = 1,415,664.78
  5. Step 5: Solve for x
    x = 1,415,664.78/1,256.98
  6. Step 6: Final answer
    x = 1,126.25

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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.