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Finding the Fourth Proportional to 580.43, 798.90 and 525.05

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Solution

The fourth proportional to 580.43, 798.90 and 525.05 is: 722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.43 : 798.90 = 525.05 : x
  2. Step 2: Convert to fraction form
    580.43/798.90 = 525.05/x
  3. Step 3: Cross multiply
    580.43x = 798.90 × 525.05
  4. Step 4: Simplify right side
    580.43x = 419,458.45
  5. Step 5: Solve for x
    x = 419,458.45/580.43
  6. Step 6: Final answer
    x = 722.67

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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.