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Finding the Fourth Proportional to 515.20, 708.96 and 493.36

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Solution

The fourth proportional to 515.20, 708.96 and 493.36 is: 678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.20 : 708.96 = 493.36 : x
  2. Step 2: Convert to fraction form
    515.20/708.96 = 493.36/x
  3. Step 3: Cross multiply
    515.20x = 708.96 × 493.36
  4. Step 4: Simplify right side
    515.20x = 349,772.51
  5. Step 5: Solve for x
    x = 349,772.51/515.20
  6. Step 6: Final answer
    x = 678.91

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