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Finding the Fourth Proportional to 598.80, 892.02 and 580.67

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Solution

The fourth proportional to 598.80, 892.02 and 580.67 is: 865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 892.02 = 580.67 : x
  2. Step 2: Convert to fraction form
    598.80/892.02 = 580.67/x
  3. Step 3: Cross multiply
    598.80x = 892.02 × 580.67
  4. Step 4: Simplify right side
    598.80x = 517,969.25
  5. Step 5: Solve for x
    x = 517,969.25/598.80
  6. Step 6: Final answer
    x = 865.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.