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Finding the Fourth Proportional to 492.98, 679.58 and 434.19

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Solution

The fourth proportional to 492.98, 679.58 and 434.19 is: 598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.98 : 679.58 = 434.19 : x
  2. Step 2: Convert to fraction form
    492.98/679.58 = 434.19/x
  3. Step 3: Cross multiply
    492.98x = 679.58 × 434.19
  4. Step 4: Simplify right side
    492.98x = 295,064.67
  5. Step 5: Solve for x
    x = 295,064.67/492.98
  6. Step 6: Final answer
    x = 598.54

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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.