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Finding the Fourth Proportional to 712.38, 982.54 and 491.70

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Solution

The fourth proportional to 712.38, 982.54 and 491.70 is: 678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.38 : 982.54 = 491.70 : x
  2. Step 2: Convert to fraction form
    712.38/982.54 = 491.70/x
  3. Step 3: Cross multiply
    712.38x = 982.54 × 491.70
  4. Step 4: Simplify right side
    712.38x = 483,114.92
  5. Step 5: Solve for x
    x = 483,114.92/712.38
  6. Step 6: Final answer
    x = 678.17

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.