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Finding the Fourth Proportional to 712.03, 982.38 and 491.53

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Solution

The fourth proportional to 712.03, 982.38 and 491.53 is: 678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.03 : 982.38 = 491.53 : x
  2. Step 2: Convert to fraction form
    712.03/982.38 = 491.53/x
  3. Step 3: Cross multiply
    712.03x = 982.38 × 491.53
  4. Step 4: Simplify right side
    712.03x = 482,869.24
  5. Step 5: Solve for x
    x = 482,869.24/712.03
  6. Step 6: Final answer
    x = 678.16

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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.