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Finding the Fourth Proportional to 1,223.88, 1,835.64 and 402

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Solution

The fourth proportional to 1,223.88, 1,835.64 and 402 is: 602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.88 : 1,835.64 = 402 : x
  2. Step 2: Convert to fraction form
    1,223.88/1,835.64 = 402/x
  3. Step 3: Cross multiply
    1,223.88x = 1,835.64 × 402
  4. Step 4: Simplify right side
    1,223.88x = 737,927.28
  5. Step 5: Solve for x
    x = 737,927.28/1,223.88
  6. Step 6: Final answer
    x = 602.94

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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.