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Finding the Fourth Proportional to 686.32, 946.64 and 437.55

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Solution

The fourth proportional to 686.32, 946.64 and 437.55 is: 603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.32 : 946.64 = 437.55 : x
  2. Step 2: Convert to fraction form
    686.32/946.64 = 437.55/x
  3. Step 3: Cross multiply
    686.32x = 946.64 × 437.55
  4. Step 4: Simplify right side
    686.32x = 414,202.74
  5. Step 5: Solve for x
    x = 414,202.74/686.32
  6. Step 6: Final answer
    x = 603.51

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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.