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Finding the Fourth Proportional to 460.30, 686.70 and 378.90

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Solution

The fourth proportional to 460.30, 686.70 and 378.90 is: 565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.30 : 686.70 = 378.90 : x
  2. Step 2: Convert to fraction form
    460.30/686.70 = 378.90/x
  3. Step 3: Cross multiply
    460.30x = 686.70 × 378.90
  4. Step 4: Simplify right side
    460.30x = 260,190.63
  5. Step 5: Solve for x
    x = 260,190.63/460.30
  6. Step 6: Final answer
    x = 565.26

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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.