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Finding the Fourth Proportional to 598.76, 826.32 and 412.06

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Solution

The fourth proportional to 598.76, 826.32 and 412.06 is: 568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.76 : 826.32 = 412.06 : x
  2. Step 2: Convert to fraction form
    598.76/826.32 = 412.06/x
  3. Step 3: Cross multiply
    598.76x = 826.32 × 412.06
  4. Step 4: Simplify right side
    598.76x = 340,493.42
  5. Step 5: Solve for x
    x = 340,493.42/598.76
  6. Step 6: Final answer
    x = 568.66

Related Problems

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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.