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Finding the Fourth Proportional to 829.78, 1,145.41 and 652.28

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Solution

The fourth proportional to 829.78, 1,145.41 and 652.28 is: 900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.78 : 1,145.41 = 652.28 : x
  2. Step 2: Convert to fraction form
    829.78/1,145.41 = 652.28/x
  3. Step 3: Cross multiply
    829.78x = 1,145.41 × 652.28
  4. Step 4: Simplify right side
    829.78x = 747,120.68
  5. Step 5: Solve for x
    x = 747,120.68/829.78
  6. Step 6: Final answer
    x = 900.39

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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.