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Finding the Fourth Proportional to 603.75, 832.41 and 515.06

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Solution

The fourth proportional to 603.75, 832.41 and 515.06 is: 710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.75 : 832.41 = 515.06 : x
  2. Step 2: Convert to fraction form
    603.75/832.41 = 515.06/x
  3. Step 3: Cross multiply
    603.75x = 832.41 × 515.06
  4. Step 4: Simplify right side
    603.75x = 428,734.36
  5. Step 5: Solve for x
    x = 428,734.36/603.75
  6. Step 6: Final answer
    x = 710.12

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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.