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Finding the Fourth Proportional to 525.36, 786.96 and 409.68

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Solution

The fourth proportional to 525.36, 786.96 and 409.68 is: 613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.36 : 786.96 = 409.68 : x
  2. Step 2: Convert to fraction form
    525.36/786.96 = 409.68/x
  3. Step 3: Cross multiply
    525.36x = 786.96 × 409.68
  4. Step 4: Simplify right side
    525.36x = 322,401.77
  5. Step 5: Solve for x
    x = 322,401.77/525.36
  6. Step 6: Final answer
    x = 613.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.