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Finding the Fourth Proportional to 1,202.83, 1,800.97 and 624.49

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Solution

The fourth proportional to 1,202.83, 1,800.97 and 624.49 is: 935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.83 : 1,800.97 = 624.49 : x
  2. Step 2: Convert to fraction form
    1,202.83/1,800.97 = 624.49/x
  3. Step 3: Cross multiply
    1,202.83x = 1,800.97 × 624.49
  4. Step 4: Simplify right side
    1,202.83x = 1,124,681.69
  5. Step 5: Solve for x
    x = 1,124,681.69/1,202.83
  6. Step 6: Final answer
    x = 935.03

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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.