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Finding the Fourth Proportional to 686.94, 947.68 and 480.06

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Solution

The fourth proportional to 686.94, 947.68 and 480.06 is: 662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.94 : 947.68 = 480.06 : x
  2. Step 2: Convert to fraction form
    686.94/947.68 = 480.06/x
  3. Step 3: Cross multiply
    686.94x = 947.68 × 480.06
  4. Step 4: Simplify right side
    686.94x = 454,943.26
  5. Step 5: Solve for x
    x = 454,943.26/686.94
  6. Step 6: Final answer
    x = 662.28

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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.