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Finding the Fourth Proportional to 899.15, 1,349.41 and 437.20

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Solution

The fourth proportional to 899.15, 1,349.41 and 437.20 is: 656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.15 : 1,349.41 = 437.20 : x
  2. Step 2: Convert to fraction form
    899.15/1,349.41 = 437.20/x
  3. Step 3: Cross multiply
    899.15x = 1,349.41 × 437.20
  4. Step 4: Simplify right side
    899.15x = 589,958.41
  5. Step 5: Solve for x
    x = 589,958.41/899.15
  6. Step 6: Final answer
    x = 656.13

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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.