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Finding the Fourth Proportional to 492.76, 678.18 and 403.48

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Solution

The fourth proportional to 492.76, 678.18 and 403.48 is: 555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.76 : 678.18 = 403.48 : x
  2. Step 2: Convert to fraction form
    492.76/678.18 = 403.48/x
  3. Step 3: Cross multiply
    492.76x = 678.18 × 403.48
  4. Step 4: Simplify right side
    492.76x = 273,632.07
  5. Step 5: Solve for x
    x = 273,632.07/492.76
  6. Step 6: Final answer
    x = 555.30

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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.