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Finding the Fourth Proportional to 685.82, 946.12 and 476.50

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Solution

The fourth proportional to 685.82, 946.12 and 476.50 is: 657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.82 : 946.12 = 476.50 : x
  2. Step 2: Convert to fraction form
    685.82/946.12 = 476.50/x
  3. Step 3: Cross multiply
    685.82x = 946.12 × 476.50
  4. Step 4: Simplify right side
    685.82x = 450,820.63
  5. Step 5: Solve for x
    x = 450,820.63/685.82
  6. Step 6: Final answer
    x = 657.35

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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.