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Finding the Fourth Proportional to 709.46, 977.10 and 611.18

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Solution

The fourth proportional to 709.46, 977.10 and 611.18 is: 841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.46 : 977.10 = 611.18 : x
  2. Step 2: Convert to fraction form
    709.46/977.10 = 611.18/x
  3. Step 3: Cross multiply
    709.46x = 977.10 × 611.18
  4. Step 4: Simplify right side
    709.46x = 597,183.98
  5. Step 5: Solve for x
    x = 597,183.98/709.46
  6. Step 6: Final answer
    x = 841.74

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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.