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Finding the Fourth Proportional to 784.94, 1,177.86 and 291.69

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Solution

The fourth proportional to 784.94, 1,177.86 and 291.69 is: 437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.94 : 1,177.86 = 291.69 : x
  2. Step 2: Convert to fraction form
    784.94/1,177.86 = 291.69/x
  3. Step 3: Cross multiply
    784.94x = 1,177.86 × 291.69
  4. Step 4: Simplify right side
    784.94x = 343,569.98
  5. Step 5: Solve for x
    x = 343,569.98/784.94
  6. Step 6: Final answer
    x = 437.70

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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.