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Finding the Fourth Proportional to 457.29, 683.84 and 340.38

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Solution

The fourth proportional to 457.29, 683.84 and 340.38 is: 509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.29 : 683.84 = 340.38 : x
  2. Step 2: Convert to fraction form
    457.29/683.84 = 340.38/x
  3. Step 3: Cross multiply
    457.29x = 683.84 × 340.38
  4. Step 4: Simplify right side
    457.29x = 232,766.31
  5. Step 5: Solve for x
    x = 232,766.31/457.29
  6. Step 6: Final answer
    x = 509.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.