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Finding the Fourth Proportional to 515.08, 709.36 and 482.14

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Solution

The fourth proportional to 515.08, 709.36 and 482.14 is: 664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.08 : 709.36 = 482.14 : x
  2. Step 2: Convert to fraction form
    515.08/709.36 = 482.14/x
  3. Step 3: Cross multiply
    515.08x = 709.36 × 482.14
  4. Step 4: Simplify right side
    515.08x = 342,010.83
  5. Step 5: Solve for x
    x = 342,010.83/515.08
  6. Step 6: Final answer
    x = 664.00

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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.