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Finding the Fourth Proportional to 514.76, 707.13 and 488.43

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Solution

The fourth proportional to 514.76, 707.13 and 488.43 is: 670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.76 : 707.13 = 488.43 : x
  2. Step 2: Convert to fraction form
    514.76/707.13 = 488.43/x
  3. Step 3: Cross multiply
    514.76x = 707.13 × 488.43
  4. Step 4: Simplify right side
    514.76x = 345,383.51
  5. Step 5: Solve for x
    x = 345,383.51/514.76
  6. Step 6: Final answer
    x = 670.97

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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.