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Finding the Fourth Proportional to 686.07, 947.58 and 464.63

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Solution

The fourth proportional to 686.07, 947.58 and 464.63 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.07 : 947.58 = 464.63 : x
  2. Step 2: Convert to fraction form
    686.07/947.58 = 464.63/x
  3. Step 3: Cross multiply
    686.07x = 947.58 × 464.63
  4. Step 4: Simplify right side
    686.07x = 440,269.36
  5. Step 5: Solve for x
    x = 440,269.36/686.07
  6. Step 6: Final answer
    x = 641.73

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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.