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Finding the Fourth Proportional to 899.95, 1,348.44 and 552.55

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Solution

The fourth proportional to 899.95, 1,348.44 and 552.55 is: 827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.95 : 1,348.44 = 552.55 : x
  2. Step 2: Convert to fraction form
    899.95/1,348.44 = 552.55/x
  3. Step 3: Cross multiply
    899.95x = 1,348.44 × 552.55
  4. Step 4: Simplify right side
    899.95x = 745,076.92
  5. Step 5: Solve for x
    x = 745,076.92/899.95
  6. Step 6: Final answer
    x = 827.91

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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.