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Finding the Fourth Proportional to 706.61, 974.95 and 423.12

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Solution

The fourth proportional to 706.61, 974.95 and 423.12 is: 583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.61 : 974.95 = 423.12 : x
  2. Step 2: Convert to fraction form
    706.61/974.95 = 423.12/x
  3. Step 3: Cross multiply
    706.61x = 974.95 × 423.12
  4. Step 4: Simplify right side
    706.61x = 412,526.43
  5. Step 5: Solve for x
    x = 412,526.43/706.61
  6. Step 6: Final answer
    x = 583.81

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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.