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Finding the Fourth Proportional to 652.69, 900.91 and 419.81

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Solution

The fourth proportional to 652.69, 900.91 and 419.81 is: 579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.69 : 900.91 = 419.81 : x
  2. Step 2: Convert to fraction form
    652.69/900.91 = 419.81/x
  3. Step 3: Cross multiply
    652.69x = 900.91 × 419.81
  4. Step 4: Simplify right side
    652.69x = 378,213.80
  5. Step 5: Solve for x
    x = 378,213.80/652.69
  6. Step 6: Final answer
    x = 579.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.