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Finding the Fourth Proportional to 685.80, 946.45 and 405.98

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Solution

The fourth proportional to 685.80, 946.45 and 405.98 is: 560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.80 : 946.45 = 405.98 : x
  2. Step 2: Convert to fraction form
    685.80/946.45 = 405.98/x
  3. Step 3: Cross multiply
    685.80x = 946.45 × 405.98
  4. Step 4: Simplify right side
    685.80x = 384,239.77
  5. Step 5: Solve for x
    x = 384,239.77/685.80
  6. Step 6: Final answer
    x = 560.28

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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.