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Finding the Fourth Proportional to 790.86, 1,186.17 and 304.14

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Solution

The fourth proportional to 790.86, 1,186.17 and 304.14 is: 456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.86 : 1,186.17 = 304.14 : x
  2. Step 2: Convert to fraction form
    790.86/1,186.17 = 304.14/x
  3. Step 3: Cross multiply
    790.86x = 1,186.17 × 304.14
  4. Step 4: Simplify right side
    790.86x = 360,761.74
  5. Step 5: Solve for x
    x = 360,761.74/790.86
  6. Step 6: Final answer
    x = 456.16

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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.