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Finding the Fourth Proportional to 498.03, 743.40 and 461.89

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Solution

The fourth proportional to 498.03, 743.40 and 461.89 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.03 : 743.40 = 461.89 : x
  2. Step 2: Convert to fraction form
    498.03/743.40 = 461.89/x
  3. Step 3: Cross multiply
    498.03x = 743.40 × 461.89
  4. Step 4: Simplify right side
    498.03x = 343,369.03
  5. Step 5: Solve for x
    x = 343,369.03/498.03
  6. Step 6: Final answer
    x = 689.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.