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Finding the Fourth Proportional to 711.42, 981.72 and 449.34

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Solution

The fourth proportional to 711.42, 981.72 and 449.34 is: 620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.42 : 981.72 = 449.34 : x
  2. Step 2: Convert to fraction form
    711.42/981.72 = 449.34/x
  3. Step 3: Cross multiply
    711.42x = 981.72 × 449.34
  4. Step 4: Simplify right side
    711.42x = 441,126.06
  5. Step 5: Solve for x
    x = 441,126.06/711.42
  6. Step 6: Final answer
    x = 620.06

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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.