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Finding the Fourth Proportional to 580.70, 869.52 and 537.32

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Solution

The fourth proportional to 580.70, 869.52 and 537.32 is: 804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 869.52 = 537.32 : x
  2. Step 2: Convert to fraction form
    580.70/869.52 = 537.32/x
  3. Step 3: Cross multiply
    580.70x = 869.52 × 537.32
  4. Step 4: Simplify right side
    580.70x = 467,210.49
  5. Step 5: Solve for x
    x = 467,210.49/580.70
  6. Step 6: Final answer
    x = 804.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.