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Finding the Fourth Proportional to 711.53, 982.00 and 416.74

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Solution

The fourth proportional to 711.53, 982.00 and 416.74 is: 575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.53 : 982.00 = 416.74 : x
  2. Step 2: Convert to fraction form
    711.53/982.00 = 416.74/x
  3. Step 3: Cross multiply
    711.53x = 982.00 × 416.74
  4. Step 4: Simplify right side
    711.53x = 409,235.18
  5. Step 5: Solve for x
    x = 409,235.18/711.53
  6. Step 6: Final answer
    x = 575.15

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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.