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Finding the Fourth Proportional to 492.52, 734.61 and 423.24

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Solution

The fourth proportional to 492.52, 734.61 and 423.24 is: 631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.52 : 734.61 = 423.24 : x
  2. Step 2: Convert to fraction form
    492.52/734.61 = 423.24/x
  3. Step 3: Cross multiply
    492.52x = 734.61 × 423.24
  4. Step 4: Simplify right side
    492.52x = 310,916.34
  5. Step 5: Solve for x
    x = 310,916.34/492.52
  6. Step 6: Final answer
    x = 631.28

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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.