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Finding the Fourth Proportional to 899.32, 1,349.30 and 314.41

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Solution

The fourth proportional to 899.32, 1,349.30 and 314.41 is: 471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.32 : 1,349.30 = 314.41 : x
  2. Step 2: Convert to fraction form
    899.32/1,349.30 = 314.41/x
  3. Step 3: Cross multiply
    899.32x = 1,349.30 × 314.41
  4. Step 4: Simplify right side
    899.32x = 424,229.14
  5. Step 5: Solve for x
    x = 424,229.14/899.32
  6. Step 6: Final answer
    x = 471.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.