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Finding the Fourth Proportional to 905.34, 1,357.02 and 514.82

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Solution

The fourth proportional to 905.34, 1,357.02 and 514.82 is: 771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.34 : 1,357.02 = 514.82 : x
  2. Step 2: Convert to fraction form
    905.34/1,357.02 = 514.82/x
  3. Step 3: Cross multiply
    905.34x = 1,357.02 × 514.82
  4. Step 4: Simplify right side
    905.34x = 698,621.04
  5. Step 5: Solve for x
    x = 698,621.04/905.34
  6. Step 6: Final answer
    x = 771.67

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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.