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Finding the Fourth Proportional to 498.78, 679.32 and 493.07

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Solution

The fourth proportional to 498.78, 679.32 and 493.07 is: 671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.78 : 679.32 = 493.07 : x
  2. Step 2: Convert to fraction form
    498.78/679.32 = 493.07/x
  3. Step 3: Cross multiply
    498.78x = 679.32 × 493.07
  4. Step 4: Simplify right side
    498.78x = 334,948.92
  5. Step 5: Solve for x
    x = 334,948.92/498.78
  6. Step 6: Final answer
    x = 671.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.