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Finding the Fourth Proportional to 461.40, 690.72 and 345.60

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Solution

The fourth proportional to 461.40, 690.72 and 345.60 is: 517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.40 : 690.72 = 345.60 : x
  2. Step 2: Convert to fraction form
    461.40/690.72 = 345.60/x
  3. Step 3: Cross multiply
    461.40x = 690.72 × 345.60
  4. Step 4: Simplify right side
    461.40x = 238,712.83
  5. Step 5: Solve for x
    x = 238,712.83/461.40
  6. Step 6: Final answer
    x = 517.37

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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.