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Finding the Fourth Proportional to 1,234.19, 1,850.31 and 617.58

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Solution

The fourth proportional to 1,234.19, 1,850.31 and 617.58 is: 925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.19 : 1,850.31 = 617.58 : x
  2. Step 2: Convert to fraction form
    1,234.19/1,850.31 = 617.58/x
  3. Step 3: Cross multiply
    1,234.19x = 1,850.31 × 617.58
  4. Step 4: Simplify right side
    1,234.19x = 1,142,714.45
  5. Step 5: Solve for x
    x = 1,142,714.45/1,234.19
  6. Step 6: Final answer
    x = 925.89

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Double scale
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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.