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Finding the Fourth Proportional to 656.38, 982.70 and 460.92

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Solution

The fourth proportional to 656.38, 982.70 and 460.92 is: 690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.38 : 982.70 = 460.92 : x
  2. Step 2: Convert to fraction form
    656.38/982.70 = 460.92/x
  3. Step 3: Cross multiply
    656.38x = 982.70 × 460.92
  4. Step 4: Simplify right side
    656.38x = 452,946.08
  5. Step 5: Solve for x
    x = 452,946.08/656.38
  6. Step 6: Final answer
    x = 690.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.