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Finding the Fourth Proportional to 685.24, 946.16 and 475.32

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Solution

The fourth proportional to 685.24, 946.16 and 475.32 is: 656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.24 : 946.16 = 475.32 : x
  2. Step 2: Convert to fraction form
    685.24/946.16 = 475.32/x
  3. Step 3: Cross multiply
    685.24x = 946.16 × 475.32
  4. Step 4: Simplify right side
    685.24x = 449,728.77
  5. Step 5: Solve for x
    x = 449,728.77/685.24
  6. Step 6: Final answer
    x = 656.31

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Double scale
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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.