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Finding the Fourth Proportional to 899.62, 1,349.57 and 314.78

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Solution

The fourth proportional to 899.62, 1,349.57 and 314.78 is: 472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.62 : 1,349.57 = 314.78 : x
  2. Step 2: Convert to fraction form
    899.62/1,349.57 = 314.78/x
  3. Step 3: Cross multiply
    899.62x = 1,349.57 × 314.78
  4. Step 4: Simplify right side
    899.62x = 424,821.81
  5. Step 5: Solve for x
    x = 424,821.81/899.62
  6. Step 6: Final answer
    x = 472.22

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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.