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Finding the Fourth Proportional to 785.36, 1,177.64 and 237.48

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Solution

The fourth proportional to 785.36, 1,177.64 and 237.48 is: 356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.36 : 1,177.64 = 237.48 : x
  2. Step 2: Convert to fraction form
    785.36/1,177.64 = 237.48/x
  3. Step 3: Cross multiply
    785.36x = 1,177.64 × 237.48
  4. Step 4: Simplify right side
    785.36x = 279,667.86
  5. Step 5: Solve for x
    x = 279,667.86/785.36
  6. Step 6: Final answer
    x = 356.10

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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.