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Finding the Fourth Proportional to 604.56, 832.21 and 526.80

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Solution

The fourth proportional to 604.56, 832.21 and 526.80 is: 725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 832.21 = 526.80 : x
  2. Step 2: Convert to fraction form
    604.56/832.21 = 526.80/x
  3. Step 3: Cross multiply
    604.56x = 832.21 × 526.80
  4. Step 4: Simplify right side
    604.56x = 438,408.23
  5. Step 5: Solve for x
    x = 438,408.23/604.56
  6. Step 6: Final answer
    x = 725.17

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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.