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Finding the Fourth Proportional to 686.54, 947.44 and 437.64

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Solution

The fourth proportional to 686.54, 947.44 and 437.64 is: 603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.54 : 947.44 = 437.64 : x
  2. Step 2: Convert to fraction form
    686.54/947.44 = 437.64/x
  3. Step 3: Cross multiply
    686.54x = 947.44 × 437.64
  4. Step 4: Simplify right side
    686.54x = 414,637.64
  5. Step 5: Solve for x
    x = 414,637.64/686.54
  6. Step 6: Final answer
    x = 603.95

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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.