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Finding the Fourth Proportional to 841.78, 1,257.11 and 719.06

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Solution

The fourth proportional to 841.78, 1,257.11 and 719.06 is: 1,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.78 : 1,257.11 = 719.06 : x
  2. Step 2: Convert to fraction form
    841.78/1,257.11 = 719.06/x
  3. Step 3: Cross multiply
    841.78x = 1,257.11 × 719.06
  4. Step 4: Simplify right side
    841.78x = 903,937.52
  5. Step 5: Solve for x
    x = 903,937.52/841.78
  6. Step 6: Final answer
    x = 1,073.84

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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.