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Finding the Fourth Proportional to 785.71, 1,176.13 and 419.59

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Solution

The fourth proportional to 785.71, 1,176.13 and 419.59 is: 628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.71 : 1,176.13 = 419.59 : x
  2. Step 2: Convert to fraction form
    785.71/1,176.13 = 419.59/x
  3. Step 3: Cross multiply
    785.71x = 1,176.13 × 419.59
  4. Step 4: Simplify right side
    785.71x = 493,492.39
  5. Step 5: Solve for x
    x = 493,492.39/785.71
  6. Step 6: Final answer
    x = 628.08

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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.