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Finding the Fourth Proportional to 509.55, 699.69 and 410.55

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Solution

The fourth proportional to 509.55, 699.69 and 410.55 is: 563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.55 : 699.69 = 410.55 : x
  2. Step 2: Convert to fraction form
    509.55/699.69 = 410.55/x
  3. Step 3: Cross multiply
    509.55x = 699.69 × 410.55
  4. Step 4: Simplify right side
    509.55x = 287,257.73
  5. Step 5: Solve for x
    x = 287,257.73/509.55
  6. Step 6: Final answer
    x = 563.75

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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.