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Finding the Fourth Proportional to 461.13, 690.99 and 345.03

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Solution

The fourth proportional to 461.13, 690.99 and 345.03 is: 517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.13 : 690.99 = 345.03 : x
  2. Step 2: Convert to fraction form
    461.13/690.99 = 345.03/x
  3. Step 3: Cross multiply
    461.13x = 690.99 × 345.03
  4. Step 4: Simplify right side
    461.13x = 238,412.28
  5. Step 5: Solve for x
    x = 238,412.28/461.13
  6. Step 6: Final answer
    x = 517.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.