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Finding the Fourth Proportional to 705.68, 974.00 and 444.05

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Solution

The fourth proportional to 705.68, 974.00 and 444.05 is: 612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.68 : 974.00 = 444.05 : x
  2. Step 2: Convert to fraction form
    705.68/974.00 = 444.05/x
  3. Step 3: Cross multiply
    705.68x = 974.00 × 444.05
  4. Step 4: Simplify right side
    705.68x = 432,502.48
  5. Step 5: Solve for x
    x = 432,502.48/705.68
  6. Step 6: Final answer
    x = 612.89

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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.