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Finding the Fourth Proportional to 1,225.85, 1,835.33 and 955.10

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Solution

The fourth proportional to 1,225.85, 1,835.33 and 955.10 is: 1,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.85 : 1,835.33 = 955.10 : x
  2. Step 2: Convert to fraction form
    1,225.85/1,835.33 = 955.10/x
  3. Step 3: Cross multiply
    1,225.85x = 1,835.33 × 955.10
  4. Step 4: Simplify right side
    1,225.85x = 1,752,923.50
  5. Step 5: Solve for x
    x = 1,752,923.50/1,225.85
  6. Step 6: Final answer
    x = 1,429.97

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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.