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Finding the Fourth Proportional to 686.19, 946.67 and 450.08

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Solution

The fourth proportional to 686.19, 946.67 and 450.08 is: 620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.19 : 946.67 = 450.08 : x
  2. Step 2: Convert to fraction form
    686.19/946.67 = 450.08/x
  3. Step 3: Cross multiply
    686.19x = 946.67 × 450.08
  4. Step 4: Simplify right side
    686.19x = 426,070.25
  5. Step 5: Solve for x
    x = 426,070.25/686.19
  6. Step 6: Final answer
    x = 620.92

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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.