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Finding the Fourth Proportional to 502.58, 751.81 and 455.65

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Solution

The fourth proportional to 502.58, 751.81 and 455.65 is: 681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.58 : 751.81 = 455.65 : x
  2. Step 2: Convert to fraction form
    502.58/751.81 = 455.65/x
  3. Step 3: Cross multiply
    502.58x = 751.81 × 455.65
  4. Step 4: Simplify right side
    502.58x = 342,562.23
  5. Step 5: Solve for x
    x = 342,562.23/502.58
  6. Step 6: Final answer
    x = 681.61

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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.