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Finding the Fourth Proportional to 784.15, 1,176.23 and 351.61

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Solution

The fourth proportional to 784.15, 1,176.23 and 351.61 is: 527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.15 : 1,176.23 = 351.61 : x
  2. Step 2: Convert to fraction form
    784.15/1,176.23 = 351.61/x
  3. Step 3: Cross multiply
    784.15x = 1,176.23 × 351.61
  4. Step 4: Simplify right side
    784.15x = 413,572.17
  5. Step 5: Solve for x
    x = 413,572.17/784.15
  6. Step 6: Final answer
    x = 527.42

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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.