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Finding the Fourth Proportional to 458, 687.34 and 303.88

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Solution

The fourth proportional to 458, 687.34 and 303.88 is: 456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 687.34 = 303.88 : x
  2. Step 2: Convert to fraction form
    458/687.34 = 303.88/x
  3. Step 3: Cross multiply
    458x = 687.34 × 303.88
  4. Step 4: Simplify right side
    458x = 208,868.88
  5. Step 5: Solve for x
    x = 208,868.88/458
  6. Step 6: Final answer
    x = 456.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.