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Finding the Fourth Proportional to 685.67, 946.26 and 405.86

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Solution

The fourth proportional to 685.67, 946.26 and 405.86 is: 560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.67 : 946.26 = 405.86 : x
  2. Step 2: Convert to fraction form
    685.67/946.26 = 405.86/x
  3. Step 3: Cross multiply
    685.67x = 946.26 × 405.86
  4. Step 4: Simplify right side
    685.67x = 384,048.53
  5. Step 5: Solve for x
    x = 384,048.53/685.67
  6. Step 6: Final answer
    x = 560.11

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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.