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Finding the Fourth Proportional to 685.46, 946.00 and 405.65

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Solution

The fourth proportional to 685.46, 946.00 and 405.65 is: 559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.46 : 946.00 = 405.65 : x
  2. Step 2: Convert to fraction form
    685.46/946.00 = 405.65/x
  3. Step 3: Cross multiply
    685.46x = 946.00 × 405.65
  4. Step 4: Simplify right side
    685.46x = 383,746.25
  5. Step 5: Solve for x
    x = 383,746.25/685.46
  6. Step 6: Final answer
    x = 559.84

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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.