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Finding the Fourth Proportional to 841.36, 1,256.38 and 687.60

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Solution

The fourth proportional to 841.36, 1,256.38 and 687.60 is: 1,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.36 : 1,256.38 = 687.60 : x
  2. Step 2: Convert to fraction form
    841.36/1,256.38 = 687.60/x
  3. Step 3: Cross multiply
    841.36x = 1,256.38 × 687.60
  4. Step 4: Simplify right side
    841.36x = 863,886.89
  5. Step 5: Solve for x
    x = 863,886.89/841.36
  6. Step 6: Final answer
    x = 1,026.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.