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Finding the Fourth Proportional to 1,257.85, 1,735.85 and 705.85

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Solution

The fourth proportional to 1,257.85, 1,735.85 and 705.85 is: 974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.85 : 1,735.85 = 705.85 : x
  2. Step 2: Convert to fraction form
    1,257.85/1,735.85 = 705.85/x
  3. Step 3: Cross multiply
    1,257.85x = 1,735.85 × 705.85
  4. Step 4: Simplify right side
    1,257.85x = 1,225,247.15
  5. Step 5: Solve for x
    x = 1,225,247.15/1,257.85
  6. Step 6: Final answer
    x = 974.08

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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.