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Finding the Fourth Proportional to 531.61, 795.96 and 384.93

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Solution

The fourth proportional to 531.61, 795.96 and 384.93 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.61 : 795.96 = 384.93 : x
  2. Step 2: Convert to fraction form
    531.61/795.96 = 384.93/x
  3. Step 3: Cross multiply
    531.61x = 795.96 × 384.93
  4. Step 4: Simplify right side
    531.61x = 306,388.88
  5. Step 5: Solve for x
    x = 306,388.88/531.61
  6. Step 6: Final answer
    x = 576.34

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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.