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Finding the Fourth Proportional to 685.68, 946.16 and 405.92

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Solution

The fourth proportional to 685.68, 946.16 and 405.92 is: 560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 946.16 = 405.92 : x
  2. Step 2: Convert to fraction form
    685.68/946.16 = 405.92/x
  3. Step 3: Cross multiply
    685.68x = 946.16 × 405.92
  4. Step 4: Simplify right side
    685.68x = 384,065.27
  5. Step 5: Solve for x
    x = 384,065.27/685.68
  6. Step 6: Final answer
    x = 560.12

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1.5x scale

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.