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Finding the Fourth Proportional to 784.92, 1,176.46 and 419.51

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Solution

The fourth proportional to 784.92, 1,176.46 and 419.51 is: 628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,176.46 = 419.51 : x
  2. Step 2: Convert to fraction form
    784.92/1,176.46 = 419.51/x
  3. Step 3: Cross multiply
    784.92x = 1,176.46 × 419.51
  4. Step 4: Simplify right side
    784.92x = 493,538.63
  5. Step 5: Solve for x
    x = 493,538.63/784.92
  6. Step 6: Final answer
    x = 628.77

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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.