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Finding the Fourth Proportional to 899.63, 1,349.87 and 466.79

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Solution

The fourth proportional to 899.63, 1,349.87 and 466.79 is: 700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.63 : 1,349.87 = 466.79 : x
  2. Step 2: Convert to fraction form
    899.63/1,349.87 = 466.79/x
  3. Step 3: Cross multiply
    899.63x = 1,349.87 × 466.79
  4. Step 4: Simplify right side
    899.63x = 630,100.23
  5. Step 5: Solve for x
    x = 630,100.23/899.63
  6. Step 6: Final answer
    x = 700.40

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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.