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Finding the Fourth Proportional to 686.25, 946.61 and 450.22

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Solution

The fourth proportional to 686.25, 946.61 and 450.22 is: 621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 946.61 = 450.22 : x
  2. Step 2: Convert to fraction form
    686.25/946.61 = 450.22/x
  3. Step 3: Cross multiply
    686.25x = 946.61 × 450.22
  4. Step 4: Simplify right side
    686.25x = 426,178.14
  5. Step 5: Solve for x
    x = 426,178.14/686.25
  6. Step 6: Final answer
    x = 621.02

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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.