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Finding the Fourth Proportional to 790.82, 1,186.64 and 304.01

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Solution

The fourth proportional to 790.82, 1,186.64 and 304.01 is: 456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.82 : 1,186.64 = 304.01 : x
  2. Step 2: Convert to fraction form
    790.82/1,186.64 = 304.01/x
  3. Step 3: Cross multiply
    790.82x = 1,186.64 × 304.01
  4. Step 4: Simplify right side
    790.82x = 360,750.43
  5. Step 5: Solve for x
    x = 360,750.43/790.82
  6. Step 6: Final answer
    x = 456.17

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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.