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Finding the Fourth Proportional to 784.72, 1,178.43 and 580.60

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Solution

The fourth proportional to 784.72, 1,178.43 and 580.60 is: 871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.72 : 1,178.43 = 580.60 : x
  2. Step 2: Convert to fraction form
    784.72/1,178.43 = 580.60/x
  3. Step 3: Cross multiply
    784.72x = 1,178.43 × 580.60
  4. Step 4: Simplify right side
    784.72x = 684,196.46
  5. Step 5: Solve for x
    x = 684,196.46/784.72
  6. Step 6: Final answer
    x = 871.90

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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.