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Finding the Fourth Proportional to 686.08, 946.92 and 437.68

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Solution

The fourth proportional to 686.08, 946.92 and 437.68 is: 604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.08 : 946.92 = 437.68 : x
  2. Step 2: Convert to fraction form
    686.08/946.92 = 437.68/x
  3. Step 3: Cross multiply
    686.08x = 946.92 × 437.68
  4. Step 4: Simplify right side
    686.08x = 414,450.77
  5. Step 5: Solve for x
    x = 414,450.77/686.08
  6. Step 6: Final answer
    x = 604.08

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