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Finding the Fourth Proportional to 686.66, 946.82 and 437.58

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Solution

The fourth proportional to 686.66, 946.82 and 437.58 is: 603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.66 : 946.82 = 437.58 : x
  2. Step 2: Convert to fraction form
    686.66/946.82 = 437.58/x
  3. Step 3: Cross multiply
    686.66x = 946.82 × 437.58
  4. Step 4: Simplify right side
    686.66x = 414,309.50
  5. Step 5: Solve for x
    x = 414,309.50/686.66
  6. Step 6: Final answer
    x = 603.37

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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.