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Finding the Fourth Proportional to 650.52, 899.78 and 512.01

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Solution

The fourth proportional to 650.52, 899.78 and 512.01 is: 708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 899.78 = 512.01 : x
  2. Step 2: Convert to fraction form
    650.52/899.78 = 512.01/x
  3. Step 3: Cross multiply
    650.52x = 899.78 × 512.01
  4. Step 4: Simplify right side
    650.52x = 460,696.36
  5. Step 5: Solve for x
    x = 460,696.36/650.52
  6. Step 6: Final answer
    x = 708.20

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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.