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Finding the Fourth Proportional to 783.45, 1,174.70 and 539.71

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Solution

The fourth proportional to 783.45, 1,174.70 and 539.71 is: 809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.45 : 1,174.70 = 539.71 : x
  2. Step 2: Convert to fraction form
    783.45/1,174.70 = 539.71/x
  3. Step 3: Cross multiply
    783.45x = 1,174.70 × 539.71
  4. Step 4: Simplify right side
    783.45x = 633,997.34
  5. Step 5: Solve for x
    x = 633,997.34/783.45
  6. Step 6: Final answer
    x = 809.24

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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.