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Finding the Fourth Proportional to 1,225.03, 1,837 and 359.14

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Solution

The fourth proportional to 1,225.03, 1,837 and 359.14 is: 538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.03 : 1,837 = 359.14 : x
  2. Step 2: Convert to fraction form
    1,225.03/1,837 = 359.14/x
  3. Step 3: Cross multiply
    1,225.03x = 1,837 × 359.14
  4. Step 4: Simplify right side
    1,225.03x = 659,740.18
  5. Step 5: Solve for x
    x = 659,740.18/1,225.03
  6. Step 6: Final answer
    x = 538.55

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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.