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Finding the Fourth Proportional to 460.29, 690.30 and 378.93

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Solution

The fourth proportional to 460.29, 690.30 and 378.93 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.29 : 690.30 = 378.93 : x
  2. Step 2: Convert to fraction form
    460.29/690.30 = 378.93/x
  3. Step 3: Cross multiply
    460.29x = 690.30 × 378.93
  4. Step 4: Simplify right side
    460.29x = 261,575.38
  5. Step 5: Solve for x
    x = 261,575.38/460.29
  6. Step 6: Final answer
    x = 568.28

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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.