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Finding the Fourth Proportional to 1,223.78, 1,835.78 and 402.06

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Solution

The fourth proportional to 1,223.78, 1,835.78 and 402.06 is: 603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.78 : 1,835.78 = 402.06 : x
  2. Step 2: Convert to fraction form
    1,223.78/1,835.78 = 402.06/x
  3. Step 3: Cross multiply
    1,223.78x = 1,835.78 × 402.06
  4. Step 4: Simplify right side
    1,223.78x = 738,093.71
  5. Step 5: Solve for x
    x = 738,093.71/1,223.78
  6. Step 6: Final answer
    x = 603.13

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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.