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Finding the Fourth Proportional to 790.57, 1,186.08 and 235.29

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Solution

The fourth proportional to 790.57, 1,186.08 and 235.29 is: 353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.57 : 1,186.08 = 235.29 : x
  2. Step 2: Convert to fraction form
    790.57/1,186.08 = 235.29/x
  3. Step 3: Cross multiply
    790.57x = 1,186.08 × 235.29
  4. Step 4: Simplify right side
    790.57x = 279,065.66
  5. Step 5: Solve for x
    x = 279,065.66/790.57
  6. Step 6: Final answer
    x = 353.00

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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.