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Finding the Fourth Proportional to 514.08, 704.70 and 509.22

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Solution

The fourth proportional to 514.08, 704.70 and 509.22 is: 698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.08 : 704.70 = 509.22 : x
  2. Step 2: Convert to fraction form
    514.08/704.70 = 509.22/x
  3. Step 3: Cross multiply
    514.08x = 704.70 × 509.22
  4. Step 4: Simplify right side
    514.08x = 358,847.33
  5. Step 5: Solve for x
    x = 358,847.33/514.08
  6. Step 6: Final answer
    x = 698.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.