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Finding the Fourth Proportional to 509.79, 703.11 and 450.84

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Solution

The fourth proportional to 509.79, 703.11 and 450.84 is: 621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.79 : 703.11 = 450.84 : x
  2. Step 2: Convert to fraction form
    509.79/703.11 = 450.84/x
  3. Step 3: Cross multiply
    509.79x = 703.11 × 450.84
  4. Step 4: Simplify right side
    509.79x = 316,990.11
  5. Step 5: Solve for x
    x = 316,990.11/509.79
  6. Step 6: Final answer
    x = 621.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.