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Finding the Fourth Proportional to 531.30, 792.68 and 472.83

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Solution

The fourth proportional to 531.30, 792.68 and 472.83 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.30 : 792.68 = 472.83 : x
  2. Step 2: Convert to fraction form
    531.30/792.68 = 472.83/x
  3. Step 3: Cross multiply
    531.30x = 792.68 × 472.83
  4. Step 4: Simplify right side
    531.30x = 374,796.56
  5. Step 5: Solve for x
    x = 374,796.56/531.30
  6. Step 6: Final answer
    x = 705.44

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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.