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Finding the Fourth Proportional to 492.40, 678.50 and 458.54

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Solution

The fourth proportional to 492.40, 678.50 and 458.54 is: 631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 678.50 = 458.54 : x
  2. Step 2: Convert to fraction form
    492.40/678.50 = 458.54/x
  3. Step 3: Cross multiply
    492.40x = 678.50 × 458.54
  4. Step 4: Simplify right side
    492.40x = 311,117.35
  5. Step 5: Solve for x
    x = 311,117.35/492.40
  6. Step 6: Final answer
    x = 631.83

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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.