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Finding the Fourth Proportional to 525.85, 725.36 and 440.46

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Solution

The fourth proportional to 525.85, 725.36 and 440.46 is: 607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.85 : 725.36 = 440.46 : x
  2. Step 2: Convert to fraction form
    525.85/725.36 = 440.46/x
  3. Step 3: Cross multiply
    525.85x = 725.36 × 440.46
  4. Step 4: Simplify right side
    525.85x = 319,489.86
  5. Step 5: Solve for x
    x = 319,489.86/525.85
  6. Step 6: Final answer
    x = 607.57

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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.