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Finding the Fourth Proportional to 514.54, 708.27 and 448.93

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Solution

The fourth proportional to 514.54, 708.27 and 448.93 is: 617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 708.27 = 448.93 : x
  2. Step 2: Convert to fraction form
    514.54/708.27 = 448.93/x
  3. Step 3: Cross multiply
    514.54x = 708.27 × 448.93
  4. Step 4: Simplify right side
    514.54x = 317,963.65
  5. Step 5: Solve for x
    x = 317,963.65/514.54
  6. Step 6: Final answer
    x = 617.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.