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Finding the Fourth Proportional to 458.14, 690.31 and 378.76

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Solution

The fourth proportional to 458.14, 690.31 and 378.76 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.14 : 690.31 = 378.76 : x
  2. Step 2: Convert to fraction form
    458.14/690.31 = 378.76/x
  3. Step 3: Cross multiply
    458.14x = 690.31 × 378.76
  4. Step 4: Simplify right side
    458.14x = 261,461.82
  5. Step 5: Solve for x
    x = 261,461.82/458.14
  6. Step 6: Final answer
    x = 570.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.