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Finding the Fourth Proportional to 598.90, 826.87 and 412.33

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Solution

The fourth proportional to 598.90, 826.87 and 412.33 is: 569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.90 : 826.87 = 412.33 : x
  2. Step 2: Convert to fraction form
    598.90/826.87 = 412.33/x
  3. Step 3: Cross multiply
    598.90x = 826.87 × 412.33
  4. Step 4: Simplify right side
    598.90x = 340,943.31
  5. Step 5: Solve for x
    x = 340,943.31/598.90
  6. Step 6: Final answer
    x = 569.28

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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.