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Finding the Fourth Proportional to 1,235.89, 1,852.76 and 505.00

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Solution

The fourth proportional to 1,235.89, 1,852.76 and 505.00 is: 757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.89 : 1,852.76 = 505.00 : x
  2. Step 2: Convert to fraction form
    1,235.89/1,852.76 = 505.00/x
  3. Step 3: Cross multiply
    1,235.89x = 1,852.76 × 505.00
  4. Step 4: Simplify right side
    1,235.89x = 935,636.64
  5. Step 5: Solve for x
    x = 935,636.64/1,235.89
  6. Step 6: Final answer
    x = 757.06

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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.