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Finding the Fourth Proportional to 524.13, 786.01 and 215.84

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Solution

The fourth proportional to 524.13, 786.01 and 215.84 is: 323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.13 : 786.01 = 215.84 : x
  2. Step 2: Convert to fraction form
    524.13/786.01 = 215.84/x
  3. Step 3: Cross multiply
    524.13x = 786.01 × 215.84
  4. Step 4: Simplify right side
    524.13x = 169,649.81
  5. Step 5: Solve for x
    x = 169,649.81/524.13
  6. Step 6: Final answer
    x = 323.68

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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.