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Finding the Fourth Proportional to 706.50, 974.89 and 411.76

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Solution

The fourth proportional to 706.50, 974.89 and 411.76 is: 568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 974.89 = 411.76 : x
  2. Step 2: Convert to fraction form
    706.50/974.89 = 411.76/x
  3. Step 3: Cross multiply
    706.50x = 974.89 × 411.76
  4. Step 4: Simplify right side
    706.50x = 401,417.24
  5. Step 5: Solve for x
    x = 401,417.24/706.50
  6. Step 6: Final answer
    x = 568.18

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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.