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Finding the Fourth Proportional to 492.08, 679.32 and 465.28

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Solution

The fourth proportional to 492.08, 679.32 and 465.28 is: 642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.08 : 679.32 = 465.28 : x
  2. Step 2: Convert to fraction form
    492.08/679.32 = 465.28/x
  3. Step 3: Cross multiply
    492.08x = 679.32 × 465.28
  4. Step 4: Simplify right side
    492.08x = 316,074.01
  5. Step 5: Solve for x
    x = 316,074.01/492.08
  6. Step 6: Final answer
    x = 642.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.