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Finding the Fourth Proportional to 790.42, 1,186.22 and 297.28

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Solution

The fourth proportional to 790.42, 1,186.22 and 297.28 is: 446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.42 : 1,186.22 = 297.28 : x
  2. Step 2: Convert to fraction form
    790.42/1,186.22 = 297.28/x
  3. Step 3: Cross multiply
    790.42x = 1,186.22 × 297.28
  4. Step 4: Simplify right side
    790.42x = 352,639.48
  5. Step 5: Solve for x
    x = 352,639.48/790.42
  6. Step 6: Final answer
    x = 446.14

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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.