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Finding the Fourth Proportional to 460.91, 690.45 and 345.48

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Solution

The fourth proportional to 460.91, 690.45 and 345.48 is: 517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.91 : 690.45 = 345.48 : x
  2. Step 2: Convert to fraction form
    460.91/690.45 = 345.48/x
  3. Step 3: Cross multiply
    460.91x = 690.45 × 345.48
  4. Step 4: Simplify right side
    460.91x = 238,537.64
  5. Step 5: Solve for x
    x = 238,537.64/460.91
  6. Step 6: Final answer
    x = 517.54

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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.