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Finding the Fourth Proportional to 784.12, 1,176.80 and 778.04

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Solution

The fourth proportional to 784.12, 1,176.80 and 778.04 is: 1,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.12 : 1,176.80 = 778.04 : x
  2. Step 2: Convert to fraction form
    784.12/1,176.80 = 778.04/x
  3. Step 3: Cross multiply
    784.12x = 1,176.80 × 778.04
  4. Step 4: Simplify right side
    784.12x = 915,597.47
  5. Step 5: Solve for x
    x = 915,597.47/784.12
  6. Step 6: Final answer
    x = 1,167.68

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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.