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Finding the Fourth Proportional to 1,223.36, 1,835.04 and 358.28

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Solution

The fourth proportional to 1,223.36, 1,835.04 and 358.28 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.36 : 1,835.04 = 358.28 : x
  2. Step 2: Convert to fraction form
    1,223.36/1,835.04 = 358.28/x
  3. Step 3: Cross multiply
    1,223.36x = 1,835.04 × 358.28
  4. Step 4: Simplify right side
    1,223.36x = 657,458.13
  5. Step 5: Solve for x
    x = 657,458.13/1,223.36
  6. Step 6: Final answer
    x = 537.42

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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.