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Finding the Fourth Proportional to 492.64, 741.92 and 432.52

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Solution

The fourth proportional to 492.64, 741.92 and 432.52 is: 651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.64 : 741.92 = 432.52 : x
  2. Step 2: Convert to fraction form
    492.64/741.92 = 432.52/x
  3. Step 3: Cross multiply
    492.64x = 741.92 × 432.52
  4. Step 4: Simplify right side
    492.64x = 320,895.24
  5. Step 5: Solve for x
    x = 320,895.24/492.64
  6. Step 6: Final answer
    x = 651.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.