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Finding the Fourth Proportional to 650.32, 898.70 and 578.32

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Solution

The fourth proportional to 650.32, 898.70 and 578.32 is: 799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 898.70 = 578.32 : x
  2. Step 2: Convert to fraction form
    650.32/898.70 = 578.32/x
  3. Step 3: Cross multiply
    650.32x = 898.70 × 578.32
  4. Step 4: Simplify right side
    650.32x = 519,736.18
  5. Step 5: Solve for x
    x = 519,736.18/650.32
  6. Step 6: Final answer
    x = 799.20

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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.