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Finding the Fourth Proportional to 687.94, 949.62 and 510.61

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Solution

The fourth proportional to 687.94, 949.62 and 510.61 is: 704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 949.62 = 510.61 : x
  2. Step 2: Convert to fraction form
    687.94/949.62 = 510.61/x
  3. Step 3: Cross multiply
    687.94x = 949.62 × 510.61
  4. Step 4: Simplify right side
    687.94x = 484,885.47
  5. Step 5: Solve for x
    x = 484,885.47/687.94
  6. Step 6: Final answer
    x = 704.84

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Why These Related Problems?

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