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Finding the Fourth Proportional to 785.31, 1,176.66 and 419.01

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Solution

The fourth proportional to 785.31, 1,176.66 and 419.01 is: 627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.31 : 1,176.66 = 419.01 : x
  2. Step 2: Convert to fraction form
    785.31/1,176.66 = 419.01/x
  3. Step 3: Cross multiply
    785.31x = 1,176.66 × 419.01
  4. Step 4: Simplify right side
    785.31x = 493,032.31
  5. Step 5: Solve for x
    x = 493,032.31/785.31
  6. Step 6: Final answer
    x = 627.82

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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.