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Finding the Fourth Proportional to 900.19, 1,349.22 and 591.99

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Solution

The fourth proportional to 900.19, 1,349.22 and 591.99 is: 887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.19 : 1,349.22 = 591.99 : x
  2. Step 2: Convert to fraction form
    900.19/1,349.22 = 591.99/x
  3. Step 3: Cross multiply
    900.19x = 1,349.22 × 591.99
  4. Step 4: Simplify right side
    900.19x = 798,724.75
  5. Step 5: Solve for x
    x = 798,724.75/900.19
  6. Step 6: Final answer
    x = 887.28

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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.