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Finding the Fourth Proportional to 525.29, 782.33 and 491.54

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Solution

The fourth proportional to 525.29, 782.33 and 491.54 is: 732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.29 : 782.33 = 491.54 : x
  2. Step 2: Convert to fraction form
    525.29/782.33 = 491.54/x
  3. Step 3: Cross multiply
    525.29x = 782.33 × 491.54
  4. Step 4: Simplify right side
    525.29x = 384,540.12
  5. Step 5: Solve for x
    x = 384,540.12/525.29
  6. Step 6: Final answer
    x = 732.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.