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Finding the Fourth Proportional to 1,225.07, 1,838.51 and 576.26

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Solution

The fourth proportional to 1,225.07, 1,838.51 and 576.26 is: 864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.07 : 1,838.51 = 576.26 : x
  2. Step 2: Convert to fraction form
    1,225.07/1,838.51 = 576.26/x
  3. Step 3: Cross multiply
    1,225.07x = 1,838.51 × 576.26
  4. Step 4: Simplify right side
    1,225.07x = 1,059,452.02
  5. Step 5: Solve for x
    x = 1,059,452.02/1,225.07
  6. Step 6: Final answer
    x = 864.81

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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.