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Finding the Fourth Proportional to 492.90, 677.06 and 478.32

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Solution

The fourth proportional to 492.90, 677.06 and 478.32 is: 657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.90 : 677.06 = 478.32 : x
  2. Step 2: Convert to fraction form
    492.90/677.06 = 478.32/x
  3. Step 3: Cross multiply
    492.90x = 677.06 × 478.32
  4. Step 4: Simplify right side
    492.90x = 323,848.95
  5. Step 5: Solve for x
    x = 323,848.95/492.90
  6. Step 6: Final answer
    x = 657.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.