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Finding the Fourth Proportional to 557.28, 840.94 and 537.98

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Solution

The fourth proportional to 557.28, 840.94 and 537.98 is: 811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 840.94 = 537.98 : x
  2. Step 2: Convert to fraction form
    557.28/840.94 = 537.98/x
  3. Step 3: Cross multiply
    557.28x = 840.94 × 537.98
  4. Step 4: Simplify right side
    557.28x = 452,403.35
  5. Step 5: Solve for x
    x = 452,403.35/557.28
  6. Step 6: Final answer
    x = 811.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.