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Finding the Fourth Proportional to 685.18, 946.11 and 464.05

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Solution

The fourth proportional to 685.18, 946.11 and 464.05 is: 640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.18 : 946.11 = 464.05 : x
  2. Step 2: Convert to fraction form
    685.18/946.11 = 464.05/x
  3. Step 3: Cross multiply
    685.18x = 946.11 × 464.05
  4. Step 4: Simplify right side
    685.18x = 439,042.35
  5. Step 5: Solve for x
    x = 439,042.35/685.18
  6. Step 6: Final answer
    x = 640.77

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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.