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Finding the Fourth Proportional to 650.13, 896.41 and 525.40

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Solution

The fourth proportional to 650.13, 896.41 and 525.40 is: 724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.13 : 896.41 = 525.40 : x
  2. Step 2: Convert to fraction form
    650.13/896.41 = 525.40/x
  3. Step 3: Cross multiply
    650.13x = 896.41 × 525.40
  4. Step 4: Simplify right side
    650.13x = 470,977.27
  5. Step 5: Solve for x
    x = 470,977.27/650.13
  6. Step 6: Final answer
    x = 724.44

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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.