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Finding the Fourth Proportional to 509.93, 698.43 and 480.01

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Solution

The fourth proportional to 509.93, 698.43 and 480.01 is: 657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 698.43 = 480.01 : x
  2. Step 2: Convert to fraction form
    509.93/698.43 = 480.01/x
  3. Step 3: Cross multiply
    509.93x = 698.43 × 480.01
  4. Step 4: Simplify right side
    509.93x = 335,251.64
  5. Step 5: Solve for x
    x = 335,251.64/509.93
  6. Step 6: Final answer
    x = 657.45

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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.