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Finding the Fourth Proportional to 1,235.35, 1,853.33 and 870.85

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Solution

The fourth proportional to 1,235.35, 1,853.33 and 870.85 is: 1,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.35 : 1,853.33 = 870.85 : x
  2. Step 2: Convert to fraction form
    1,235.35/1,853.33 = 870.85/x
  3. Step 3: Cross multiply
    1,235.35x = 1,853.33 × 870.85
  4. Step 4: Simplify right side
    1,235.35x = 1,613,963.44
  5. Step 5: Solve for x
    x = 1,613,963.44/1,235.35
  6. Step 6: Final answer
    x = 1,306.49

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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.