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Finding the Fourth Proportional to 686.09, 946.46 and 437.39

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Solution

The fourth proportional to 686.09, 946.46 and 437.39 is: 603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.09 : 946.46 = 437.39 : x
  2. Step 2: Convert to fraction form
    686.09/946.46 = 437.39/x
  3. Step 3: Cross multiply
    686.09x = 946.46 × 437.39
  4. Step 4: Simplify right side
    686.09x = 413,972.32
  5. Step 5: Solve for x
    x = 413,972.32/686.09
  6. Step 6: Final answer
    x = 603.38

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1.5x scale

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.