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Finding the Fourth Proportional to 492.01, 678.23 and 404.53

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Solution

The fourth proportional to 492.01, 678.23 and 404.53 is: 557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.01 : 678.23 = 404.53 : x
  2. Step 2: Convert to fraction form
    492.01/678.23 = 404.53/x
  3. Step 3: Cross multiply
    492.01x = 678.23 × 404.53
  4. Step 4: Simplify right side
    492.01x = 274,358.97
  5. Step 5: Solve for x
    x = 274,358.97/492.01
  6. Step 6: Final answer
    x = 557.63

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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.