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Finding the Fourth Proportional to 685.41, 946.16 and 465

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Solution

The fourth proportional to 685.41, 946.16 and 465 is: 641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.41 : 946.16 = 465 : x
  2. Step 2: Convert to fraction form
    685.41/946.16 = 465/x
  3. Step 3: Cross multiply
    685.41x = 946.16 × 465
  4. Step 4: Simplify right side
    685.41x = 439,964.40
  5. Step 5: Solve for x
    x = 439,964.40/685.41
  6. Step 6: Final answer
    x = 641.90

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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.