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Finding the Fourth Proportional to 531.50, 794.00 and 423.41

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Solution

The fourth proportional to 531.50, 794.00 and 423.41 is: 632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.50 : 794.00 = 423.41 : x
  2. Step 2: Convert to fraction form
    531.50/794.00 = 423.41/x
  3. Step 3: Cross multiply
    531.50x = 794.00 × 423.41
  4. Step 4: Simplify right side
    531.50x = 336,184.63
  5. Step 5: Solve for x
    x = 336,184.63/531.50
  6. Step 6: Final answer
    x = 632.53

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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.