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Finding the Fourth Proportional to 711.45, 982.29 and 446.01

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Solution

The fourth proportional to 711.45, 982.29 and 446.01 is: 615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.45 : 982.29 = 446.01 : x
  2. Step 2: Convert to fraction form
    711.45/982.29 = 446.01/x
  3. Step 3: Cross multiply
    711.45x = 982.29 × 446.01
  4. Step 4: Simplify right side
    711.45x = 438,111.16
  5. Step 5: Solve for x
    x = 438,111.16/711.45
  6. Step 6: Final answer
    x = 615.80

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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.