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Finding the Fourth Proportional to 467.81, 698.41 and 357.54

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Solution

The fourth proportional to 467.81, 698.41 and 357.54 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.81 : 698.41 = 357.54 : x
  2. Step 2: Convert to fraction form
    467.81/698.41 = 357.54/x
  3. Step 3: Cross multiply
    467.81x = 698.41 × 357.54
  4. Step 4: Simplify right side
    467.81x = 249,705.57
  5. Step 5: Solve for x
    x = 249,705.57/467.81
  6. Step 6: Final answer
    x = 533.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.