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Finding the Fourth Proportional to 900.26, 1,348.90 and 552.86

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Solution

The fourth proportional to 900.26, 1,348.90 and 552.86 is: 828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.26 : 1,348.90 = 552.86 : x
  2. Step 2: Convert to fraction form
    900.26/1,348.90 = 552.86/x
  3. Step 3: Cross multiply
    900.26x = 1,348.90 × 552.86
  4. Step 4: Simplify right side
    900.26x = 745,758.59
  5. Step 5: Solve for x
    x = 745,758.59/900.26
  6. Step 6: Final answer
    x = 828.38

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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.