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Finding the Fourth Proportional to 502.84, 750.82 and 450.45

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Solution

The fourth proportional to 502.84, 750.82 and 450.45 is: 672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 750.82 = 450.45 : x
  2. Step 2: Convert to fraction form
    502.84/750.82 = 450.45/x
  3. Step 3: Cross multiply
    502.84x = 750.82 × 450.45
  4. Step 4: Simplify right side
    502.84x = 338,203.11
  5. Step 5: Solve for x
    x = 338,203.11/502.84
  6. Step 6: Final answer
    x = 672.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.