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Finding the Fourth Proportional to 785.68, 1,178.08 and 541.96

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Solution

The fourth proportional to 785.68, 1,178.08 and 541.96 is: 812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.68 : 1,178.08 = 541.96 : x
  2. Step 2: Convert to fraction form
    785.68/1,178.08 = 541.96/x
  3. Step 3: Cross multiply
    785.68x = 1,178.08 × 541.96
  4. Step 4: Simplify right side
    785.68x = 638,472.24
  5. Step 5: Solve for x
    x = 638,472.24/785.68
  6. Step 6: Final answer
    x = 812.64

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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.