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Finding the Fourth Proportional to 899.59, 1,349.38 and 514.57

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Solution

The fourth proportional to 899.59, 1,349.38 and 514.57 is: 771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.59 : 1,349.38 = 514.57 : x
  2. Step 2: Convert to fraction form
    899.59/1,349.38 = 514.57/x
  3. Step 3: Cross multiply
    899.59x = 1,349.38 × 514.57
  4. Step 4: Simplify right side
    899.59x = 694,341.15
  5. Step 5: Solve for x
    x = 694,341.15/899.59
  6. Step 6: Final answer
    x = 771.85

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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.