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Finding the Fourth Proportional to 1,235.76, 1,852.26 and 585.12

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Solution

The fourth proportional to 1,235.76, 1,852.26 and 585.12 is: 877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.76 : 1,852.26 = 585.12 : x
  2. Step 2: Convert to fraction form
    1,235.76/1,852.26 = 585.12/x
  3. Step 3: Cross multiply
    1,235.76x = 1,852.26 × 585.12
  4. Step 4: Simplify right side
    1,235.76x = 1,083,794.37
  5. Step 5: Solve for x
    x = 1,083,794.37/1,235.76
  6. Step 6: Final answer
    x = 877.03

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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.