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Finding the Fourth Proportional to 784.44, 1,177.11 and 291.19

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Solution

The fourth proportional to 784.44, 1,177.11 and 291.19 is: 436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.44 : 1,177.11 = 291.19 : x
  2. Step 2: Convert to fraction form
    784.44/1,177.11 = 291.19/x
  3. Step 3: Cross multiply
    784.44x = 1,177.11 × 291.19
  4. Step 4: Simplify right side
    784.44x = 342,762.66
  5. Step 5: Solve for x
    x = 342,762.66/784.44
  6. Step 6: Final answer
    x = 436.95

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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.