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Finding the Fourth Proportional to 652.75, 900.84 and 376.75

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Solution

The fourth proportional to 652.75, 900.84 and 376.75 is: 519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.75 : 900.84 = 376.75 : x
  2. Step 2: Convert to fraction form
    652.75/900.84 = 376.75/x
  3. Step 3: Cross multiply
    652.75x = 900.84 × 376.75
  4. Step 4: Simplify right side
    652.75x = 339,389.59
  5. Step 5: Solve for x
    x = 339,389.59/652.75
  6. Step 6: Final answer
    x = 519.94

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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.