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Finding the Fourth Proportional to 785.16, 1,178.15 and 322.79

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Solution

The fourth proportional to 785.16, 1,178.15 and 322.79 is: 484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.16 : 1,178.15 = 322.79 : x
  2. Step 2: Convert to fraction form
    785.16/1,178.15 = 322.79/x
  3. Step 3: Cross multiply
    785.16x = 1,178.15 × 322.79
  4. Step 4: Simplify right side
    785.16x = 380,287.53
  5. Step 5: Solve for x
    x = 380,287.53/785.16
  6. Step 6: Final answer
    x = 484.34

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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.