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Finding the Fourth Proportional to 686.51, 947.14 and 476.63

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Solution

The fourth proportional to 686.51, 947.14 and 476.63 is: 657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.51 : 947.14 = 476.63 : x
  2. Step 2: Convert to fraction form
    686.51/947.14 = 476.63/x
  3. Step 3: Cross multiply
    686.51x = 947.14 × 476.63
  4. Step 4: Simplify right side
    686.51x = 451,429.41
  5. Step 5: Solve for x
    x = 451,429.41/686.51
  6. Step 6: Final answer
    x = 657.58

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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.