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Finding the Fourth Proportional to 783.87, 1,176.17 and 345.07

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Solution

The fourth proportional to 783.87, 1,176.17 and 345.07 is: 517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.87 : 1,176.17 = 345.07 : x
  2. Step 2: Convert to fraction form
    783.87/1,176.17 = 345.07/x
  3. Step 3: Cross multiply
    783.87x = 1,176.17 × 345.07
  4. Step 4: Simplify right side
    783.87x = 405,860.98
  5. Step 5: Solve for x
    x = 405,860.98/783.87
  6. Step 6: Final answer
    x = 517.77

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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.