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Finding the Fourth Proportional to 603.82, 832.70 and 525.08

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Solution

The fourth proportional to 603.82, 832.70 and 525.08 is: 724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 832.70 = 525.08 : x
  2. Step 2: Convert to fraction form
    603.82/832.70 = 525.08/x
  3. Step 3: Cross multiply
    603.82x = 832.70 × 525.08
  4. Step 4: Simplify right side
    603.82x = 437,234.12
  5. Step 5: Solve for x
    x = 437,234.12/603.82
  6. Step 6: Final answer
    x = 724.11

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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.