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Finding the Fourth Proportional to 784.56, 1,175.64 and 621.84

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Solution

The fourth proportional to 784.56, 1,175.64 and 621.84 is: 931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.56 : 1,175.64 = 621.84 : x
  2. Step 2: Convert to fraction form
    784.56/1,175.64 = 621.84/x
  3. Step 3: Cross multiply
    784.56x = 1,175.64 × 621.84
  4. Step 4: Simplify right side
    784.56x = 731,059.98
  5. Step 5: Solve for x
    x = 731,059.98/784.56
  6. Step 6: Final answer
    x = 931.81

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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.