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Finding the Fourth Proportional to 899.69, 1,349.86 and 314.78

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Solution

The fourth proportional to 899.69, 1,349.86 and 314.78 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.69 : 1,349.86 = 314.78 : x
  2. Step 2: Convert to fraction form
    899.69/1,349.86 = 314.78/x
  3. Step 3: Cross multiply
    899.69x = 1,349.86 × 314.78
  4. Step 4: Simplify right side
    899.69x = 424,908.93
  5. Step 5: Solve for x
    x = 424,908.93/899.69
  6. Step 6: Final answer
    x = 472.28

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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.