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Finding the Fourth Proportional to 509.28, 698.64 and 498.48

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Solution

The fourth proportional to 509.28, 698.64 and 498.48 is: 683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 698.64 = 498.48 : x
  2. Step 2: Convert to fraction form
    509.28/698.64 = 498.48/x
  3. Step 3: Cross multiply
    509.28x = 698.64 × 498.48
  4. Step 4: Simplify right side
    509.28x = 348,258.07
  5. Step 5: Solve for x
    x = 348,258.07/509.28
  6. Step 6: Final answer
    x = 683.82

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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.