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Finding the Fourth Proportional to 1,225.25, 1,837.08 and 609.47

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Solution

The fourth proportional to 1,225.25, 1,837.08 and 609.47 is: 913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.25 : 1,837.08 = 609.47 : x
  2. Step 2: Convert to fraction form
    1,225.25/1,837.08 = 609.47/x
  3. Step 3: Cross multiply
    1,225.25x = 1,837.08 × 609.47
  4. Step 4: Simplify right side
    1,225.25x = 1,119,653.18
  5. Step 5: Solve for x
    x = 1,119,653.18/1,225.25
  6. Step 6: Final answer
    x = 913.81

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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.