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Finding the Fourth Proportional to 461, 689.14 and 345.40

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Solution

The fourth proportional to 461, 689.14 and 345.40 is: 516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 689.14 = 345.40 : x
  2. Step 2: Convert to fraction form
    461/689.14 = 345.40/x
  3. Step 3: Cross multiply
    461x = 689.14 × 345.40
  4. Step 4: Simplify right side
    461x = 238,028.96
  5. Step 5: Solve for x
    x = 238,028.96/461
  6. Step 6: Final answer
    x = 516.33

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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.