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Finding the Fourth Proportional to 531.32, 795.74 and 423.18

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Solution

The fourth proportional to 531.32, 795.74 and 423.18 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.32 : 795.74 = 423.18 : x
  2. Step 2: Convert to fraction form
    531.32/795.74 = 423.18/x
  3. Step 3: Cross multiply
    531.32x = 795.74 × 423.18
  4. Step 4: Simplify right side
    531.32x = 336,741.25
  5. Step 5: Solve for x
    x = 336,741.25/531.32
  6. Step 6: Final answer
    x = 633.78

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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.