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Finding the Fourth Proportional to 509.40, 698.83 and 477.97

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Solution

The fourth proportional to 509.40, 698.83 and 477.97 is: 655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 698.83 = 477.97 : x
  2. Step 2: Convert to fraction form
    509.40/698.83 = 477.97/x
  3. Step 3: Cross multiply
    509.40x = 698.83 × 477.97
  4. Step 4: Simplify right side
    509.40x = 334,016.83
  5. Step 5: Solve for x
    x = 334,016.83/509.40
  6. Step 6: Final answer
    x = 655.71

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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.