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Finding the Fourth Proportional to 784.93, 1,177.26 and 237.28

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Solution

The fourth proportional to 784.93, 1,177.26 and 237.28 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.93 : 1,177.26 = 237.28 : x
  2. Step 2: Convert to fraction form
    784.93/1,177.26 = 237.28/x
  3. Step 3: Cross multiply
    784.93x = 1,177.26 × 237.28
  4. Step 4: Simplify right side
    784.93x = 279,340.25
  5. Step 5: Solve for x
    x = 279,340.25/784.93
  6. Step 6: Final answer
    x = 355.88

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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.