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Finding the Fourth Proportional to 525.85, 725.63 and 339.01

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Solution

The fourth proportional to 525.85, 725.63 and 339.01 is: 467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.85 : 725.63 = 339.01 : x
  2. Step 2: Convert to fraction form
    525.85/725.63 = 339.01/x
  3. Step 3: Cross multiply
    525.85x = 725.63 × 339.01
  4. Step 4: Simplify right side
    525.85x = 245,992.32
  5. Step 5: Solve for x
    x = 245,992.32/525.85
  6. Step 6: Final answer
    x = 467.80

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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.