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Finding the Fourth Proportional to 784.96, 1,178.88 and 623.68

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Solution

The fourth proportional to 784.96, 1,178.88 and 623.68 is: 936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.96 : 1,178.88 = 623.68 : x
  2. Step 2: Convert to fraction form
    784.96/1,178.88 = 623.68/x
  3. Step 3: Cross multiply
    784.96x = 1,178.88 × 623.68
  4. Step 4: Simplify right side
    784.96x = 735,243.88
  5. Step 5: Solve for x
    x = 735,243.88/784.96
  6. Step 6: Final answer
    x = 936.66

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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.