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Finding the Fourth Proportional to 784.11, 1,176.35 and 290.87

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Solution

The fourth proportional to 784.11, 1,176.35 and 290.87 is: 436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.11 : 1,176.35 = 290.87 : x
  2. Step 2: Convert to fraction form
    784.11/1,176.35 = 290.87/x
  3. Step 3: Cross multiply
    784.11x = 1,176.35 × 290.87
  4. Step 4: Simplify right side
    784.11x = 342,164.92
  5. Step 5: Solve for x
    x = 342,164.92/784.11
  6. Step 6: Final answer
    x = 436.37

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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.