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Finding the Fourth Proportional to 455.13, 682.19 and 346.70

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Solution

The fourth proportional to 455.13, 682.19 and 346.70 is: 519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.13 : 682.19 = 346.70 : x
  2. Step 2: Convert to fraction form
    455.13/682.19 = 346.70/x
  3. Step 3: Cross multiply
    455.13x = 682.19 × 346.70
  4. Step 4: Simplify right side
    455.13x = 236,510.13
  5. Step 5: Solve for x
    x = 236,510.13/455.13
  6. Step 6: Final answer
    x = 519.65

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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.