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Finding the Fourth Proportional to 841.35, 1,261.58 and 451.58

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Solution

The fourth proportional to 841.35, 1,261.58 and 451.58 is: 677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.35 : 1,261.58 = 451.58 : x
  2. Step 2: Convert to fraction form
    841.35/1,261.58 = 451.58/x
  3. Step 3: Cross multiply
    841.35x = 1,261.58 × 451.58
  4. Step 4: Simplify right side
    841.35x = 569,695.73
  5. Step 5: Solve for x
    x = 569,695.73/841.35
  6. Step 6: Final answer
    x = 677.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.