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Finding the Fourth Proportional to 899.05, 1,349.10 and 488.17

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Solution

The fourth proportional to 899.05, 1,349.10 and 488.17 is: 732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.05 : 1,349.10 = 488.17 : x
  2. Step 2: Convert to fraction form
    899.05/1,349.10 = 488.17/x
  3. Step 3: Cross multiply
    899.05x = 1,349.10 × 488.17
  4. Step 4: Simplify right side
    899.05x = 658,587.71
  5. Step 5: Solve for x
    x = 658,587.71/899.05
  6. Step 6: Final answer
    x = 732.54

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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.