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Finding the Fourth Proportional to 900.35, 1,349.41 and 437.75

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Solution

The fourth proportional to 900.35, 1,349.41 and 437.75 is: 656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.35 : 1,349.41 = 437.75 : x
  2. Step 2: Convert to fraction form
    900.35/1,349.41 = 437.75/x
  3. Step 3: Cross multiply
    900.35x = 1,349.41 × 437.75
  4. Step 4: Simplify right side
    900.35x = 590,704.23
  5. Step 5: Solve for x
    x = 590,704.23/900.35
  6. Step 6: Final answer
    x = 656.08

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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.