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Finding the Fourth Proportional to 1,235.60, 1,705.18 and 676.11

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Solution

The fourth proportional to 1,235.60, 1,705.18 and 676.11 is: 933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.60 : 1,705.18 = 676.11 : x
  2. Step 2: Convert to fraction form
    1,235.60/1,705.18 = 676.11/x
  3. Step 3: Cross multiply
    1,235.60x = 1,705.18 × 676.11
  4. Step 4: Simplify right side
    1,235.60x = 1,152,889.25
  5. Step 5: Solve for x
    x = 1,152,889.25/1,235.60
  6. Step 6: Final answer
    x = 933.06

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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.