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Finding the Fourth Proportional to 784.28, 1,176.42 and 351.13

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Solution

The fourth proportional to 784.28, 1,176.42 and 351.13 is: 526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.28 : 1,176.42 = 351.13 : x
  2. Step 2: Convert to fraction form
    784.28/1,176.42 = 351.13/x
  3. Step 3: Cross multiply
    784.28x = 1,176.42 × 351.13
  4. Step 4: Simplify right side
    784.28x = 413,076.35
  5. Step 5: Solve for x
    x = 413,076.35/784.28
  6. Step 6: Final answer
    x = 526.70

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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.