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Finding the Fourth Proportional to 645.24, 891.02 and 412.77

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Solution

The fourth proportional to 645.24, 891.02 and 412.77 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 891.02 = 412.77 : x
  2. Step 2: Convert to fraction form
    645.24/891.02 = 412.77/x
  3. Step 3: Cross multiply
    645.24x = 891.02 × 412.77
  4. Step 4: Simplify right side
    645.24x = 367,786.33
  5. Step 5: Solve for x
    x = 367,786.33/645.24
  6. Step 6: Final answer
    x = 570.00

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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.