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Finding the Fourth Proportional to 557.73, 837.57 and 535.69

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Solution

The fourth proportional to 557.73, 837.57 and 535.69 is: 804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.73 : 837.57 = 535.69 : x
  2. Step 2: Convert to fraction form
    557.73/837.57 = 535.69/x
  3. Step 3: Cross multiply
    557.73x = 837.57 × 535.69
  4. Step 4: Simplify right side
    557.73x = 448,677.87
  5. Step 5: Solve for x
    x = 448,677.87/557.73
  6. Step 6: Final answer
    x = 804.47

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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.