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Finding the Fourth Proportional to 531.68, 794.24 and 384.16

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Solution

The fourth proportional to 531.68, 794.24 and 384.16 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.68 : 794.24 = 384.16 : x
  2. Step 2: Convert to fraction form
    531.68/794.24 = 384.16/x
  3. Step 3: Cross multiply
    531.68x = 794.24 × 384.16
  4. Step 4: Simplify right side
    531.68x = 305,115.24
  5. Step 5: Solve for x
    x = 305,115.24/531.68
  6. Step 6: Final answer
    x = 573.87

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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.