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Finding the Fourth Proportional to 899.54, 1,349.54 and 488.57

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Solution

The fourth proportional to 899.54, 1,349.54 and 488.57 is: 732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.54 : 1,349.54 = 488.57 : x
  2. Step 2: Convert to fraction form
    899.54/1,349.54 = 488.57/x
  3. Step 3: Cross multiply
    899.54x = 1,349.54 × 488.57
  4. Step 4: Simplify right side
    899.54x = 659,344.76
  5. Step 5: Solve for x
    x = 659,344.76/899.54
  6. Step 6: Final answer
    x = 732.98

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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.