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Finding the Fourth Proportional to 1,202.26, 1,802.55 and 471.91

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Solution

The fourth proportional to 1,202.26, 1,802.55 and 471.91 is: 707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.26 : 1,802.55 = 471.91 : x
  2. Step 2: Convert to fraction form
    1,202.26/1,802.55 = 471.91/x
  3. Step 3: Cross multiply
    1,202.26x = 1,802.55 × 471.91
  4. Step 4: Simplify right side
    1,202.26x = 850,632.36
  5. Step 5: Solve for x
    x = 850,632.36/1,202.26
  6. Step 6: Final answer
    x = 707.53

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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.