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Finding the Fourth Proportional to 580.10, 798.39 and 414.05

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Solution

The fourth proportional to 580.10, 798.39 and 414.05 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 798.39 = 414.05 : x
  2. Step 2: Convert to fraction form
    580.10/798.39 = 414.05/x
  3. Step 3: Cross multiply
    580.10x = 798.39 × 414.05
  4. Step 4: Simplify right side
    580.10x = 330,569.39
  5. Step 5: Solve for x
    x = 330,569.39/580.10
  6. Step 6: Final answer
    x = 569.85

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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.