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Finding the Fourth Proportional to 506.84, 762.80 and 456.53

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Solution

The fourth proportional to 506.84, 762.80 and 456.53 is: 687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 762.80 = 456.53 : x
  2. Step 2: Convert to fraction form
    506.84/762.80 = 456.53/x
  3. Step 3: Cross multiply
    506.84x = 762.80 × 456.53
  4. Step 4: Simplify right side
    506.84x = 348,234.99
  5. Step 5: Solve for x
    x = 348,234.99/506.84
  6. Step 6: Final answer
    x = 687.08

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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.