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Finding the Fourth Proportional to 2,358.20, 3,537.38 and 603.20

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Solution

The fourth proportional to 2,358.20, 3,537.38 and 603.20 is: 904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.20 : 3,537.38 = 603.20 : x
  2. Step 2: Convert to fraction form
    2,358.20/3,537.38 = 603.20/x
  3. Step 3: Cross multiply
    2,358.20x = 3,537.38 × 603.20
  4. Step 4: Simplify right side
    2,358.20x = 2,133,747.62
  5. Step 5: Solve for x
    x = 2,133,747.62/2,358.20
  6. Step 6: Final answer
    x = 904.82

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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.