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Finding the Fourth Proportional to 784.82, 1,176.62 and 373.92

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Solution

The fourth proportional to 784.82, 1,176.62 and 373.92 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.82 : 1,176.62 = 373.92 : x
  2. Step 2: Convert to fraction form
    784.82/1,176.62 = 373.92/x
  3. Step 3: Cross multiply
    784.82x = 1,176.62 × 373.92
  4. Step 4: Simplify right side
    784.82x = 439,961.75
  5. Step 5: Solve for x
    x = 439,961.75/784.82
  6. Step 6: Final answer
    x = 560.59

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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.