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Finding the Fourth Proportional to 652.73, 900.51 and 419.99

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Solution

The fourth proportional to 652.73, 900.51 and 419.99 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.73 : 900.51 = 419.99 : x
  2. Step 2: Convert to fraction form
    652.73/900.51 = 419.99/x
  3. Step 3: Cross multiply
    652.73x = 900.51 × 419.99
  4. Step 4: Simplify right side
    652.73x = 378,205.19
  5. Step 5: Solve for x
    x = 378,205.19/652.73
  6. Step 6: Final answer
    x = 579.42

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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.