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Finding the Fourth Proportional to 689.18, 952.43 and 578.43

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Solution

The fourth proportional to 689.18, 952.43 and 578.43 is: 799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.18 : 952.43 = 578.43 : x
  2. Step 2: Convert to fraction form
    689.18/952.43 = 578.43/x
  3. Step 3: Cross multiply
    689.18x = 952.43 × 578.43
  4. Step 4: Simplify right side
    689.18x = 550,911.19
  5. Step 5: Solve for x
    x = 550,911.19/689.18
  6. Step 6: Final answer
    x = 799.38

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1.5x scale

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.