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Finding the Fourth Proportional to 576, 858.24 and 531.84

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Solution

The fourth proportional to 576, 858.24 and 531.84 is: 792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 858.24 = 531.84 : x
  2. Step 2: Convert to fraction form
    576/858.24 = 531.84/x
  3. Step 3: Cross multiply
    576x = 858.24 × 531.84
  4. Step 4: Simplify right side
    576x = 456,446.36
  5. Step 5: Solve for x
    x = 456,446.36/576
  6. Step 6: Final answer
    x = 792.44

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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.