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Finding the Fourth Proportional to 705.43, 974.19 and 581.50

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Solution

The fourth proportional to 705.43, 974.19 and 581.50 is: 803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.43 : 974.19 = 581.50 : x
  2. Step 2: Convert to fraction form
    705.43/974.19 = 581.50/x
  3. Step 3: Cross multiply
    705.43x = 974.19 × 581.50
  4. Step 4: Simplify right side
    705.43x = 566,491.49
  5. Step 5: Solve for x
    x = 566,491.49/705.43
  6. Step 6: Final answer
    x = 803.04

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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.