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Finding the Fourth Proportional to 686.07, 946.49 and 511.11

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Solution

The fourth proportional to 686.07, 946.49 and 511.11 is: 705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.07 : 946.49 = 511.11 : x
  2. Step 2: Convert to fraction form
    686.07/946.49 = 511.11/x
  3. Step 3: Cross multiply
    686.07x = 946.49 × 511.11
  4. Step 4: Simplify right side
    686.07x = 483,757.95
  5. Step 5: Solve for x
    x = 483,757.95/686.07
  6. Step 6: Final answer
    x = 705.11

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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.