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Finding the Fourth Proportional to 1,235.85, 1,853.88 and 414.12

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Solution

The fourth proportional to 1,235.85, 1,853.88 and 414.12 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.85 : 1,853.88 = 414.12 : x
  2. Step 2: Convert to fraction form
    1,235.85/1,853.88 = 414.12/x
  3. Step 3: Cross multiply
    1,235.85x = 1,853.88 × 414.12
  4. Step 4: Simplify right side
    1,235.85x = 767,734.18
  5. Step 5: Solve for x
    x = 767,734.18/1,235.85
  6. Step 6: Final answer
    x = 621.22

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1.5x scale

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.