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Finding the Fourth Proportional to 784.71, 1,177.83 and 419.76

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Solution

The fourth proportional to 784.71, 1,177.83 and 419.76 is: 630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.71 : 1,177.83 = 419.76 : x
  2. Step 2: Convert to fraction form
    784.71/1,177.83 = 419.76/x
  3. Step 3: Cross multiply
    784.71x = 1,177.83 × 419.76
  4. Step 4: Simplify right side
    784.71x = 494,405.92
  5. Step 5: Solve for x
    x = 494,405.92/784.71
  6. Step 6: Final answer
    x = 630.05

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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.